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Finding the Fourth Proportional to 733.98, 1,098.96 and 690.84

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Solution

The fourth proportional to 733.98, 1,098.96 and 690.84 is: 1,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.98 : 1,098.96 = 690.84 : x
  2. Step 2: Convert to fraction form
    733.98/1,098.96 = 690.84/x
  3. Step 3: Cross multiply
    733.98x = 1,098.96 × 690.84
  4. Step 4: Simplify right side
    733.98x = 759,205.53
  5. Step 5: Solve for x
    x = 759,205.53/733.98
  6. Step 6: Final answer
    x = 1,034.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.