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Finding the Fourth Proportional to 747.56, 1,119.78 and 593.72

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Solution

The fourth proportional to 747.56, 1,119.78 and 593.72 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.56 : 1,119.78 = 593.72 : x
  2. Step 2: Convert to fraction form
    747.56/1,119.78 = 593.72/x
  3. Step 3: Cross multiply
    747.56x = 1,119.78 × 593.72
  4. Step 4: Simplify right side
    747.56x = 664,835.78
  5. Step 5: Solve for x
    x = 664,835.78/747.56
  6. Step 6: Final answer
    x = 889.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.