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Finding the Fourth Proportional to 868.82, 1,302.16 and 457.69

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Solution

The fourth proportional to 868.82, 1,302.16 and 457.69 is: 685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.82 : 1,302.16 = 457.69 : x
  2. Step 2: Convert to fraction form
    868.82/1,302.16 = 457.69/x
  3. Step 3: Cross multiply
    868.82x = 1,302.16 × 457.69
  4. Step 4: Simplify right side
    868.82x = 595,985.61
  5. Step 5: Solve for x
    x = 595,985.61/868.82
  6. Step 6: Final answer
    x = 685.97

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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.