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Finding the Fourth Proportional to 951.66, 1,425.44 and 463.69

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Solution

The fourth proportional to 951.66, 1,425.44 and 463.69 is: 694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.66 : 1,425.44 = 463.69 : x
  2. Step 2: Convert to fraction form
    951.66/1,425.44 = 463.69/x
  3. Step 3: Cross multiply
    951.66x = 1,425.44 × 463.69
  4. Step 4: Simplify right side
    951.66x = 660,959.87
  5. Step 5: Solve for x
    x = 660,959.87/951.66
  6. Step 6: Final answer
    x = 694.53

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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.