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Finding the Fourth Proportional to 1,032.46, 1,545.98 and 867.53

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Solution

The fourth proportional to 1,032.46, 1,545.98 and 867.53 is: 1,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.46 : 1,545.98 = 867.53 : x
  2. Step 2: Convert to fraction form
    1,032.46/1,545.98 = 867.53/x
  3. Step 3: Cross multiply
    1,032.46x = 1,545.98 × 867.53
  4. Step 4: Simplify right side
    1,032.46x = 1,341,184.03
  5. Step 5: Solve for x
    x = 1,341,184.03/1,032.46
  6. Step 6: Final answer
    x = 1,299.02

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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.