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Finding the Fourth Proportional to 733.06, 1,010.10 and 499.78

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Solution

The fourth proportional to 733.06, 1,010.10 and 499.78 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.06 : 1,010.10 = 499.78 : x
  2. Step 2: Convert to fraction form
    733.06/1,010.10 = 499.78/x
  3. Step 3: Cross multiply
    733.06x = 1,010.10 × 499.78
  4. Step 4: Simplify right side
    733.06x = 504,827.78
  5. Step 5: Solve for x
    x = 504,827.78/733.06
  6. Step 6: Final answer
    x = 688.66

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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.