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Finding the Fourth Proportional to 840.92, 1,158.98 and 691.88

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Solution

The fourth proportional to 840.92, 1,158.98 and 691.88 is: 953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.92 : 1,158.98 = 691.88 : x
  2. Step 2: Convert to fraction form
    840.92/1,158.98 = 691.88/x
  3. Step 3: Cross multiply
    840.92x = 1,158.98 × 691.88
  4. Step 4: Simplify right side
    840.92x = 801,865.83
  5. Step 5: Solve for x
    x = 801,865.83/840.92
  6. Step 6: Final answer
    x = 953.56

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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.