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Finding the Fourth Proportional to 1,355.71, 2,033.53 and 431.32

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Solution

The fourth proportional to 1,355.71, 2,033.53 and 431.32 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.71 : 2,033.53 = 431.32 : x
  2. Step 2: Convert to fraction form
    1,355.71/2,033.53 = 431.32/x
  3. Step 3: Cross multiply
    1,355.71x = 2,033.53 × 431.32
  4. Step 4: Simplify right side
    1,355.71x = 877,105.09
  5. Step 5: Solve for x
    x = 877,105.09/1,355.71
  6. Step 6: Final answer
    x = 646.97

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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.