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Finding the Fourth Proportional to 731.01, 1,095.83 and 365.46

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Solution

The fourth proportional to 731.01, 1,095.83 and 365.46 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.01 : 1,095.83 = 365.46 : x
  2. Step 2: Convert to fraction form
    731.01/1,095.83 = 365.46/x
  3. Step 3: Cross multiply
    731.01x = 1,095.83 × 365.46
  4. Step 4: Simplify right side
    731.01x = 400,482.03
  5. Step 5: Solve for x
    x = 400,482.03/731.01
  6. Step 6: Final answer
    x = 547.85

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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.