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Finding the Fourth Proportional to 731.18, 1,095.85 and 366.07

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Solution

The fourth proportional to 731.18, 1,095.85 and 366.07 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.18 : 1,095.85 = 366.07 : x
  2. Step 2: Convert to fraction form
    731.18/1,095.85 = 366.07/x
  3. Step 3: Cross multiply
    731.18x = 1,095.85 × 366.07
  4. Step 4: Simplify right side
    731.18x = 401,157.81
  5. Step 5: Solve for x
    x = 401,157.81/731.18
  6. Step 6: Final answer
    x = 548.64

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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.