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Finding the Fourth Proportional to 731.83, 1,098.32 and 385.37

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Solution

The fourth proportional to 731.83, 1,098.32 and 385.37 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.83 : 1,098.32 = 385.37 : x
  2. Step 2: Convert to fraction form
    731.83/1,098.32 = 385.37/x
  3. Step 3: Cross multiply
    731.83x = 1,098.32 × 385.37
  4. Step 4: Simplify right side
    731.83x = 423,258.45
  5. Step 5: Solve for x
    x = 423,258.45/731.83
  6. Step 6: Final answer
    x = 578.36

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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.