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Finding the Fourth Proportional to 730.61, 1,096.03 and 243.55

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Solution

The fourth proportional to 730.61, 1,096.03 and 243.55 is: 365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.61 : 1,096.03 = 243.55 : x
  2. Step 2: Convert to fraction form
    730.61/1,096.03 = 243.55/x
  3. Step 3: Cross multiply
    730.61x = 1,096.03 × 243.55
  4. Step 4: Simplify right side
    730.61x = 266,934.76
  5. Step 5: Solve for x
    x = 266,934.76/730.61
  6. Step 6: Final answer
    x = 365.36

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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.