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Finding the Fourth Proportional to 749.05, 1,121.90 and 583.23

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Solution

The fourth proportional to 749.05, 1,121.90 and 583.23 is: 873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.05 : 1,121.90 = 583.23 : x
  2. Step 2: Convert to fraction form
    749.05/1,121.90 = 583.23/x
  3. Step 3: Cross multiply
    749.05x = 1,121.90 × 583.23
  4. Step 4: Simplify right side
    749.05x = 654,318.61
  5. Step 5: Solve for x
    x = 654,318.61/749.05
  6. Step 6: Final answer
    x = 873.53

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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.