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Finding the Fourth Proportional to 1,355.57, 2,033.09 and 431.13

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Solution

The fourth proportional to 1,355.57, 2,033.09 and 431.13 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.57 : 2,033.09 = 431.13 : x
  2. Step 2: Convert to fraction form
    1,355.57/2,033.09 = 431.13/x
  3. Step 3: Cross multiply
    1,355.57x = 2,033.09 × 431.13
  4. Step 4: Simplify right side
    1,355.57x = 876,532.25
  5. Step 5: Solve for x
    x = 876,532.25/1,355.57
  6. Step 6: Final answer
    x = 646.62

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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.