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Finding the Fourth Proportional to 1,046.49, 1,569.42 and 315.87

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Solution

The fourth proportional to 1,046.49, 1,569.42 and 315.87 is: 473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.49 : 1,569.42 = 315.87 : x
  2. Step 2: Convert to fraction form
    1,046.49/1,569.42 = 315.87/x
  3. Step 3: Cross multiply
    1,046.49x = 1,569.42 × 315.87
  4. Step 4: Simplify right side
    1,046.49x = 495,732.70
  5. Step 5: Solve for x
    x = 495,732.70/1,046.49
  6. Step 6: Final answer
    x = 473.71

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Why These Related Problems?

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