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Finding the Fourth Proportional to 733.82, 1,098.24 and 714.07

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Solution

The fourth proportional to 733.82, 1,098.24 and 714.07 is: 1,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.82 : 1,098.24 = 714.07 : x
  2. Step 2: Convert to fraction form
    733.82/1,098.24 = 714.07/x
  3. Step 3: Cross multiply
    733.82x = 1,098.24 × 714.07
  4. Step 4: Simplify right side
    733.82x = 784,220.24
  5. Step 5: Solve for x
    x = 784,220.24/733.82
  6. Step 6: Final answer
    x = 1,068.69

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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.