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Finding the Fourth Proportional to 1,572.66, 2,359.37 and 477.02

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Solution

The fourth proportional to 1,572.66, 2,359.37 and 477.02 is: 715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.66 : 2,359.37 = 477.02 : x
  2. Step 2: Convert to fraction form
    1,572.66/2,359.37 = 477.02/x
  3. Step 3: Cross multiply
    1,572.66x = 2,359.37 × 477.02
  4. Step 4: Simplify right side
    1,572.66x = 1,125,473.77
  5. Step 5: Solve for x
    x = 1,125,473.77/1,572.66
  6. Step 6: Final answer
    x = 715.65

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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.