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Finding the Fourth Proportional to 747.74, 1,121.07 and 337.07

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Solution

The fourth proportional to 747.74, 1,121.07 and 337.07 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.74 : 1,121.07 = 337.07 : x
  2. Step 2: Convert to fraction form
    747.74/1,121.07 = 337.07/x
  3. Step 3: Cross multiply
    747.74x = 1,121.07 × 337.07
  4. Step 4: Simplify right side
    747.74x = 377,879.06
  5. Step 5: Solve for x
    x = 377,879.06/747.74
  6. Step 6: Final answer
    x = 505.36

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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.