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Finding the Fourth Proportional to 1,057.53, 1,585.88 and 472.71

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Solution

The fourth proportional to 1,057.53, 1,585.88 and 472.71 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.53 : 1,585.88 = 472.71 : x
  2. Step 2: Convert to fraction form
    1,057.53/1,585.88 = 472.71/x
  3. Step 3: Cross multiply
    1,057.53x = 1,585.88 × 472.71
  4. Step 4: Simplify right side
    1,057.53x = 749,661.33
  5. Step 5: Solve for x
    x = 749,661.33/1,057.53
  6. Step 6: Final answer
    x = 708.88

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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.