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Finding the Fourth Proportional to 733.67, 1,012.87 and 498.88

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Solution

The fourth proportional to 733.67, 1,012.87 and 498.88 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.67 : 1,012.87 = 498.88 : x
  2. Step 2: Convert to fraction form
    733.67/1,012.87 = 498.88/x
  3. Step 3: Cross multiply
    733.67x = 1,012.87 × 498.88
  4. Step 4: Simplify right side
    733.67x = 505,293.03
  5. Step 5: Solve for x
    x = 505,293.03/733.67
  6. Step 6: Final answer
    x = 688.72

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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.