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Finding the Fourth Proportional to 749.52, 1,123.44 and 518.40

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Solution

The fourth proportional to 749.52, 1,123.44 and 518.40 is: 777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.52 : 1,123.44 = 518.40 : x
  2. Step 2: Convert to fraction form
    749.52/1,123.44 = 518.40/x
  3. Step 3: Cross multiply
    749.52x = 1,123.44 × 518.40
  4. Step 4: Simplify right side
    749.52x = 582,391.30
  5. Step 5: Solve for x
    x = 582,391.30/749.52
  6. Step 6: Final answer
    x = 777.02

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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.