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Finding the Fourth Proportional to 734.25, 1,013.81 and 500.97

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Solution

The fourth proportional to 734.25, 1,013.81 and 500.97 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.25 : 1,013.81 = 500.97 : x
  2. Step 2: Convert to fraction form
    734.25/1,013.81 = 500.97/x
  3. Step 3: Cross multiply
    734.25x = 1,013.81 × 500.97
  4. Step 4: Simplify right side
    734.25x = 507,885.89
  5. Step 5: Solve for x
    x = 507,885.89/734.25
  6. Step 6: Final answer
    x = 691.71

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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.