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Finding the Fourth Proportional to 749.32, 1,123.26 and 474.73

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Solution

The fourth proportional to 749.32, 1,123.26 and 474.73 is: 711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.32 : 1,123.26 = 474.73 : x
  2. Step 2: Convert to fraction form
    749.32/1,123.26 = 474.73/x
  3. Step 3: Cross multiply
    749.32x = 1,123.26 × 474.73
  4. Step 4: Simplify right side
    749.32x = 533,245.22
  5. Step 5: Solve for x
    x = 533,245.22/749.32
  6. Step 6: Final answer
    x = 711.64

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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.