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Finding the Fourth Proportional to 1,324.30, 1,985.01 and 862.40

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Solution

The fourth proportional to 1,324.30, 1,985.01 and 862.40 is: 1,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.30 : 1,985.01 = 862.40 : x
  2. Step 2: Convert to fraction form
    1,324.30/1,985.01 = 862.40/x
  3. Step 3: Cross multiply
    1,324.30x = 1,985.01 × 862.40
  4. Step 4: Simplify right side
    1,324.30x = 1,711,872.62
  5. Step 5: Solve for x
    x = 1,711,872.62/1,324.30
  6. Step 6: Final answer
    x = 1,292.66

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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.