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Finding the Fourth Proportional to 1,208.20, 1,667.52 and 684.22

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Solution

The fourth proportional to 1,208.20, 1,667.52 and 684.22 is: 944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.20 : 1,667.52 = 684.22 : x
  2. Step 2: Convert to fraction form
    1,208.20/1,667.52 = 684.22/x
  3. Step 3: Cross multiply
    1,208.20x = 1,667.52 × 684.22
  4. Step 4: Simplify right side
    1,208.20x = 1,140,950.53
  5. Step 5: Solve for x
    x = 1,140,950.53/1,208.20
  6. Step 6: Final answer
    x = 944.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.