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Finding the Fourth Proportional to 869.09, 1,304.59 and 458.12

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Solution

The fourth proportional to 869.09, 1,304.59 and 458.12 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.09 : 1,304.59 = 458.12 : x
  2. Step 2: Convert to fraction form
    869.09/1,304.59 = 458.12/x
  3. Step 3: Cross multiply
    869.09x = 1,304.59 × 458.12
  4. Step 4: Simplify right side
    869.09x = 597,658.77
  5. Step 5: Solve for x
    x = 597,658.77/869.09
  6. Step 6: Final answer
    x = 687.68

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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.