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Finding the Fourth Proportional to 749.24, 1,122.89 and 402.71

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Solution

The fourth proportional to 749.24, 1,122.89 and 402.71 is: 603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.24 : 1,122.89 = 402.71 : x
  2. Step 2: Convert to fraction form
    749.24/1,122.89 = 402.71/x
  3. Step 3: Cross multiply
    749.24x = 1,122.89 × 402.71
  4. Step 4: Simplify right side
    749.24x = 452,191.40
  5. Step 5: Solve for x
    x = 452,191.40/749.24
  6. Step 6: Final answer
    x = 603.54

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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.