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Finding the Fourth Proportional to 1,033.38, 1,426.07 and 567.63

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Solution

The fourth proportional to 1,033.38, 1,426.07 and 567.63 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.38 : 1,426.07 = 567.63 : x
  2. Step 2: Convert to fraction form
    1,033.38/1,426.07 = 567.63/x
  3. Step 3: Cross multiply
    1,033.38x = 1,426.07 × 567.63
  4. Step 4: Simplify right side
    1,033.38x = 809,480.11
  5. Step 5: Solve for x
    x = 809,480.11/1,033.38
  6. Step 6: Final answer
    x = 783.33

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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.