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Finding the Fourth Proportional to 734.29, 1,013.69 and 499.48

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Solution

The fourth proportional to 734.29, 1,013.69 and 499.48 is: 689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.29 : 1,013.69 = 499.48 : x
  2. Step 2: Convert to fraction form
    734.29/1,013.69 = 499.48/x
  3. Step 3: Cross multiply
    734.29x = 1,013.69 × 499.48
  4. Step 4: Simplify right side
    734.29x = 506,317.88
  5. Step 5: Solve for x
    x = 506,317.88/734.29
  6. Step 6: Final answer
    x = 689.53

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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.