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Finding the Fourth Proportional to 749.27, 1,123.63 and 287.12

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Solution

The fourth proportional to 749.27, 1,123.63 and 287.12 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.27 : 1,123.63 = 287.12 : x
  2. Step 2: Convert to fraction form
    749.27/1,123.63 = 287.12/x
  3. Step 3: Cross multiply
    749.27x = 1,123.63 × 287.12
  4. Step 4: Simplify right side
    749.27x = 322,616.65
  5. Step 5: Solve for x
    x = 322,616.65/749.27
  6. Step 6: Final answer
    x = 430.57

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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.