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Finding the Fourth Proportional to 951.64, 1,424.10 and 657.76

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Solution

The fourth proportional to 951.64, 1,424.10 and 657.76 is: 984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.64 : 1,424.10 = 657.76 : x
  2. Step 2: Convert to fraction form
    951.64/1,424.10 = 657.76/x
  3. Step 3: Cross multiply
    951.64x = 1,424.10 × 657.76
  4. Step 4: Simplify right side
    951.64x = 936,716.02
  5. Step 5: Solve for x
    x = 936,716.02/951.64
  6. Step 6: Final answer
    x = 984.32

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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.