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Finding the Fourth Proportional to 733.12, 1,012 and 496.96

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Solution

The fourth proportional to 733.12, 1,012 and 496.96 is: 686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,012 = 496.96 : x
  2. Step 2: Convert to fraction form
    733.12/1,012 = 496.96/x
  3. Step 3: Cross multiply
    733.12x = 1,012 × 496.96
  4. Step 4: Simplify right side
    733.12x = 502,923.52
  5. Step 5: Solve for x
    x = 502,923.52/733.12
  6. Step 6: Final answer
    x = 686.00

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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.