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Finding the Fourth Proportional to 862.73, 1,294.63 and 452.16

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Solution

The fourth proportional to 862.73, 1,294.63 and 452.16 is: 678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.73 : 1,294.63 = 452.16 : x
  2. Step 2: Convert to fraction form
    862.73/1,294.63 = 452.16/x
  3. Step 3: Cross multiply
    862.73x = 1,294.63 × 452.16
  4. Step 4: Simplify right side
    862.73x = 585,377.67
  5. Step 5: Solve for x
    x = 585,377.67/862.73
  6. Step 6: Final answer
    x = 678.52

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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.