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Finding the Fourth Proportional to 958.57, 1,321.61 and 734.76

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Solution

The fourth proportional to 958.57, 1,321.61 and 734.76 is: 1,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.57 : 1,321.61 = 734.76 : x
  2. Step 2: Convert to fraction form
    958.57/1,321.61 = 734.76/x
  3. Step 3: Cross multiply
    958.57x = 1,321.61 × 734.76
  4. Step 4: Simplify right side
    958.57x = 971,062.49
  5. Step 5: Solve for x
    x = 971,062.49/958.57
  6. Step 6: Final answer
    x = 1,013.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.