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Finding the Fourth Proportional to 749.41, 1,123.74 and 475.30

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Solution

The fourth proportional to 749.41, 1,123.74 and 475.30 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.41 : 1,123.74 = 475.30 : x
  2. Step 2: Convert to fraction form
    749.41/1,123.74 = 475.30/x
  3. Step 3: Cross multiply
    749.41x = 1,123.74 × 475.30
  4. Step 4: Simplify right side
    749.41x = 534,113.62
  5. Step 5: Solve for x
    x = 534,113.62/749.41
  6. Step 6: Final answer
    x = 712.71

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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.