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Finding the Fourth Proportional to 1,572.75, 2,359.17 and 462.24

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Solution

The fourth proportional to 1,572.75, 2,359.17 and 462.24 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.75 : 2,359.17 = 462.24 : x
  2. Step 2: Convert to fraction form
    1,572.75/2,359.17 = 462.24/x
  3. Step 3: Cross multiply
    1,572.75x = 2,359.17 × 462.24
  4. Step 4: Simplify right side
    1,572.75x = 1,090,502.74
  5. Step 5: Solve for x
    x = 1,090,502.74/1,572.75
  6. Step 6: Final answer
    x = 693.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.