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Finding the Fourth Proportional to 869.85, 1,301.97 and 458.40

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Solution

The fourth proportional to 869.85, 1,301.97 and 458.40 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.85 : 1,301.97 = 458.40 : x
  2. Step 2: Convert to fraction form
    869.85/1,301.97 = 458.40/x
  3. Step 3: Cross multiply
    869.85x = 1,301.97 × 458.40
  4. Step 4: Simplify right side
    869.85x = 596,823.05
  5. Step 5: Solve for x
    x = 596,823.05/869.85
  6. Step 6: Final answer
    x = 686.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.