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Finding the Fourth Proportional to 731.36, 1,098.78 and 612.26

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Solution

The fourth proportional to 731.36, 1,098.78 and 612.26 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.36 : 1,098.78 = 612.26 : x
  2. Step 2: Convert to fraction form
    731.36/1,098.78 = 612.26/x
  3. Step 3: Cross multiply
    731.36x = 1,098.78 × 612.26
  4. Step 4: Simplify right side
    731.36x = 672,739.04
  5. Step 5: Solve for x
    x = 672,739.04/731.36
  6. Step 6: Final answer
    x = 919.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.