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Finding the Fourth Proportional to 869.53, 1,304.61 and 458.68

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Solution

The fourth proportional to 869.53, 1,304.61 and 458.68 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.53 : 1,304.61 = 458.68 : x
  2. Step 2: Convert to fraction form
    869.53/1,304.61 = 458.68/x
  3. Step 3: Cross multiply
    869.53x = 1,304.61 × 458.68
  4. Step 4: Simplify right side
    869.53x = 598,398.51
  5. Step 5: Solve for x
    x = 598,398.51/869.53
  6. Step 6: Final answer
    x = 688.19

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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.