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Finding the Fourth Proportional to 733.03, 1,011.80 and 496.80

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Solution

The fourth proportional to 733.03, 1,011.80 and 496.80 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.03 : 1,011.80 = 496.80 : x
  2. Step 2: Convert to fraction form
    733.03/1,011.80 = 496.80/x
  3. Step 3: Cross multiply
    733.03x = 1,011.80 × 496.80
  4. Step 4: Simplify right side
    733.03x = 502,663.48
  5. Step 5: Solve for x
    x = 502,663.48/733.03
  6. Step 6: Final answer
    x = 685.74

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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.