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Finding the Fourth Proportional to 953.92, 1,320.02 and 813.82

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Solution

The fourth proportional to 953.92, 1,320.02 and 813.82 is: 1,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.92 : 1,320.02 = 813.82 : x
  2. Step 2: Convert to fraction form
    953.92/1,320.02 = 813.82/x
  3. Step 3: Cross multiply
    953.92x = 1,320.02 × 813.82
  4. Step 4: Simplify right side
    953.92x = 1,074,258.68
  5. Step 5: Solve for x
    x = 1,074,258.68/953.92
  6. Step 6: Final answer
    x = 1,126.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.