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Finding the Fourth Proportional to 1,149.73, 1,724.19 and 500.32

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Solution

The fourth proportional to 1,149.73, 1,724.19 and 500.32 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.73 : 1,724.19 = 500.32 : x
  2. Step 2: Convert to fraction form
    1,149.73/1,724.19 = 500.32/x
  3. Step 3: Cross multiply
    1,149.73x = 1,724.19 × 500.32
  4. Step 4: Simplify right side
    1,149.73x = 862,646.74
  5. Step 5: Solve for x
    x = 862,646.74/1,149.73
  6. Step 6: Final answer
    x = 750.30

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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.