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Finding the Fourth Proportional to 862.83, 1,294.58 and 497.42

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Solution

The fourth proportional to 862.83, 1,294.58 and 497.42 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.83 : 1,294.58 = 497.42 : x
  2. Step 2: Convert to fraction form
    862.83/1,294.58 = 497.42/x
  3. Step 3: Cross multiply
    862.83x = 1,294.58 × 497.42
  4. Step 4: Simplify right side
    862.83x = 643,949.98
  5. Step 5: Solve for x
    x = 643,949.98/862.83
  6. Step 6: Final answer
    x = 746.32

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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.