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Finding the Fourth Proportional to 1,046.47, 1,569.22 and 315.91

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Solution

The fourth proportional to 1,046.47, 1,569.22 and 315.91 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.47 : 1,569.22 = 315.91 : x
  2. Step 2: Convert to fraction form
    1,046.47/1,569.22 = 315.91/x
  3. Step 3: Cross multiply
    1,046.47x = 1,569.22 × 315.91
  4. Step 4: Simplify right side
    1,046.47x = 495,732.29
  5. Step 5: Solve for x
    x = 495,732.29/1,046.47
  6. Step 6: Final answer
    x = 473.72

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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.