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Finding the Fourth Proportional to 747.75, 1,114.19 and 665.96

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Solution

The fourth proportional to 747.75, 1,114.19 and 665.96 is: 992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.75 : 1,114.19 = 665.96 : x
  2. Step 2: Convert to fraction form
    747.75/1,114.19 = 665.96/x
  3. Step 3: Cross multiply
    747.75x = 1,114.19 × 665.96
  4. Step 4: Simplify right side
    747.75x = 742,010.42
  5. Step 5: Solve for x
    x = 742,010.42/747.75
  6. Step 6: Final answer
    x = 992.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.