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Finding the Fourth Proportional to 1,031.25, 1,545.46 and 683.66

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Solution

The fourth proportional to 1,031.25, 1,545.46 and 683.66 is: 1,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.25 : 1,545.46 = 683.66 : x
  2. Step 2: Convert to fraction form
    1,031.25/1,545.46 = 683.66/x
  3. Step 3: Cross multiply
    1,031.25x = 1,545.46 × 683.66
  4. Step 4: Simplify right side
    1,031.25x = 1,056,569.18
  5. Step 5: Solve for x
    x = 1,056,569.18/1,031.25
  6. Step 6: Final answer
    x = 1,024.55

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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.