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Finding the Fourth Proportional to 3,033.59, 4,550.39 and 842.33

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Solution

The fourth proportional to 3,033.59, 4,550.39 and 842.33 is: 1,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.59 : 4,550.39 = 842.33 : x
  2. Step 2: Convert to fraction form
    3,033.59/4,550.39 = 842.33/x
  3. Step 3: Cross multiply
    3,033.59x = 4,550.39 × 842.33
  4. Step 4: Simplify right side
    3,033.59x = 3,832,907.26
  5. Step 5: Solve for x
    x = 3,832,907.26/3,033.59
  6. Step 6: Final answer
    x = 1,263.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.