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Finding the Fourth Proportional to 863.80, 1,294.02 and 431.32

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Solution

The fourth proportional to 863.80, 1,294.02 and 431.32 is: 646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.80 : 1,294.02 = 431.32 : x
  2. Step 2: Convert to fraction form
    863.80/1,294.02 = 431.32/x
  3. Step 3: Cross multiply
    863.80x = 1,294.02 × 431.32
  4. Step 4: Simplify right side
    863.80x = 558,136.71
  5. Step 5: Solve for x
    x = 558,136.71/863.80
  6. Step 6: Final answer
    x = 646.14

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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.