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Finding the Fourth Proportional to 733.76, 1,012.92 and 498

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Solution

The fourth proportional to 733.76, 1,012.92 and 498 is: 687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,012.92 = 498 : x
  2. Step 2: Convert to fraction form
    733.76/1,012.92 = 498/x
  3. Step 3: Cross multiply
    733.76x = 1,012.92 × 498
  4. Step 4: Simplify right side
    733.76x = 504,434.16
  5. Step 5: Solve for x
    x = 504,434.16/733.76
  6. Step 6: Final answer
    x = 687.46

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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.