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Finding the Fourth Proportional to 951.67, 1,426.38 and 463.60

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Solution

The fourth proportional to 951.67, 1,426.38 and 463.60 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.67 : 1,426.38 = 463.60 : x
  2. Step 2: Convert to fraction form
    951.67/1,426.38 = 463.60/x
  3. Step 3: Cross multiply
    951.67x = 1,426.38 × 463.60
  4. Step 4: Simplify right side
    951.67x = 661,269.77
  5. Step 5: Solve for x
    x = 661,269.77/951.67
  6. Step 6: Final answer
    x = 694.85

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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.