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Finding the Fourth Proportional to 868.77, 1,302.08 and 457.83

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Solution

The fourth proportional to 868.77, 1,302.08 and 457.83 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.77 : 1,302.08 = 457.83 : x
  2. Step 2: Convert to fraction form
    868.77/1,302.08 = 457.83/x
  3. Step 3: Cross multiply
    868.77x = 1,302.08 × 457.83
  4. Step 4: Simplify right side
    868.77x = 596,129.00
  5. Step 5: Solve for x
    x = 596,129.00/868.77
  6. Step 6: Final answer
    x = 686.18

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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.