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Finding the Fourth Proportional to 734.27, 1,013.15 and 498.41

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Solution

The fourth proportional to 734.27, 1,013.15 and 498.41 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.27 : 1,013.15 = 498.41 : x
  2. Step 2: Convert to fraction form
    734.27/1,013.15 = 498.41/x
  3. Step 3: Cross multiply
    734.27x = 1,013.15 × 498.41
  4. Step 4: Simplify right side
    734.27x = 504,956.53
  5. Step 5: Solve for x
    x = 504,956.53/734.27
  6. Step 6: Final answer
    x = 687.70

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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.