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Finding the Fourth Proportional to 753.53, 1,128.87 and 444.47

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Solution

The fourth proportional to 753.53, 1,128.87 and 444.47 is: 665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.53 : 1,128.87 = 444.47 : x
  2. Step 2: Convert to fraction form
    753.53/1,128.87 = 444.47/x
  3. Step 3: Cross multiply
    753.53x = 1,128.87 × 444.47
  4. Step 4: Simplify right side
    753.53x = 501,743.20
  5. Step 5: Solve for x
    x = 501,743.20/753.53
  6. Step 6: Final answer
    x = 665.86

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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.