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Finding the Fourth Proportional to 749.40, 1,123.76 and 338.24

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Solution

The fourth proportional to 749.40, 1,123.76 and 338.24 is: 507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.40 : 1,123.76 = 338.24 : x
  2. Step 2: Convert to fraction form
    749.40/1,123.76 = 338.24/x
  3. Step 3: Cross multiply
    749.40x = 1,123.76 × 338.24
  4. Step 4: Simplify right side
    749.40x = 380,100.58
  5. Step 5: Solve for x
    x = 380,100.58/749.40
  6. Step 6: Final answer
    x = 507.21

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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.