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Finding the Fourth Proportional to 1,572.67, 2,359.01 and 477.15

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Solution

The fourth proportional to 1,572.67, 2,359.01 and 477.15 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.67 : 2,359.01 = 477.15 : x
  2. Step 2: Convert to fraction form
    1,572.67/2,359.01 = 477.15/x
  3. Step 3: Cross multiply
    1,572.67x = 2,359.01 × 477.15
  4. Step 4: Simplify right side
    1,572.67x = 1,125,587.44
  5. Step 5: Solve for x
    x = 1,125,587.44/1,572.67
  6. Step 6: Final answer
    x = 715.72

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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.