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Finding the Fourth Proportional to 868.19, 1,302.80 and 457.61

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Solution

The fourth proportional to 868.19, 1,302.80 and 457.61 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.19 : 1,302.80 = 457.61 : x
  2. Step 2: Convert to fraction form
    868.19/1,302.80 = 457.61/x
  3. Step 3: Cross multiply
    868.19x = 1,302.80 × 457.61
  4. Step 4: Simplify right side
    868.19x = 596,165.51
  5. Step 5: Solve for x
    x = 596,165.51/868.19
  6. Step 6: Final answer
    x = 686.68

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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.