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Finding the Fourth Proportional to 747.66, 1,120.66 and 260.44

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Solution

The fourth proportional to 747.66, 1,120.66 and 260.44 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,120.66 = 260.44 : x
  2. Step 2: Convert to fraction form
    747.66/1,120.66 = 260.44/x
  3. Step 3: Cross multiply
    747.66x = 1,120.66 × 260.44
  4. Step 4: Simplify right side
    747.66x = 291,864.69
  5. Step 5: Solve for x
    x = 291,864.69/747.66
  6. Step 6: Final answer
    x = 390.37

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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.