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Finding the Fourth Proportional to 734.32, 1,013.61 and 513.73

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Solution

The fourth proportional to 734.32, 1,013.61 and 513.73 is: 709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,013.61 = 513.73 : x
  2. Step 2: Convert to fraction form
    734.32/1,013.61 = 513.73/x
  3. Step 3: Cross multiply
    734.32x = 1,013.61 × 513.73
  4. Step 4: Simplify right side
    734.32x = 520,721.87
  5. Step 5: Solve for x
    x = 520,721.87/734.32
  6. Step 6: Final answer
    x = 709.12

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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.