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Finding the Fourth Proportional to 731.04, 1,095.60 and 559.68

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Solution

The fourth proportional to 731.04, 1,095.60 and 559.68 is: 838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.04 : 1,095.60 = 559.68 : x
  2. Step 2: Convert to fraction form
    731.04/1,095.60 = 559.68/x
  3. Step 3: Cross multiply
    731.04x = 1,095.60 × 559.68
  4. Step 4: Simplify right side
    731.04x = 613,185.41
  5. Step 5: Solve for x
    x = 613,185.41/731.04
  6. Step 6: Final answer
    x = 838.79

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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.