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Finding the Fourth Proportional to 1,046.60, 1,569.52 and 315.94

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Solution

The fourth proportional to 1,046.60, 1,569.52 and 315.94 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.60 : 1,569.52 = 315.94 : x
  2. Step 2: Convert to fraction form
    1,046.60/1,569.52 = 315.94/x
  3. Step 3: Cross multiply
    1,046.60x = 1,569.52 × 315.94
  4. Step 4: Simplify right side
    1,046.60x = 495,874.15
  5. Step 5: Solve for x
    x = 495,874.15/1,046.60
  6. Step 6: Final answer
    x = 473.80

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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.