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Finding the Fourth Proportional to 749.48, 1,123.14 and 543.56

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Solution

The fourth proportional to 749.48, 1,123.14 and 543.56 is: 814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.48 : 1,123.14 = 543.56 : x
  2. Step 2: Convert to fraction form
    749.48/1,123.14 = 543.56/x
  3. Step 3: Cross multiply
    749.48x = 1,123.14 × 543.56
  4. Step 4: Simplify right side
    749.48x = 610,493.98
  5. Step 5: Solve for x
    x = 610,493.98/749.48
  6. Step 6: Final answer
    x = 814.56

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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.