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Finding the Fourth Proportional to 749.03, 1,123.57 and 255.43

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Solution

The fourth proportional to 749.03, 1,123.57 and 255.43 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,123.57 = 255.43 : x
  2. Step 2: Convert to fraction form
    749.03/1,123.57 = 255.43/x
  3. Step 3: Cross multiply
    749.03x = 1,123.57 × 255.43
  4. Step 4: Simplify right side
    749.03x = 286,993.49
  5. Step 5: Solve for x
    x = 286,993.49/749.03
  6. Step 6: Final answer
    x = 383.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.