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Finding the Fourth Proportional to 733.46, 1,099.17 and 522.65

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Solution

The fourth proportional to 733.46, 1,099.17 and 522.65 is: 783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,099.17 = 522.65 : x
  2. Step 2: Convert to fraction form
    733.46/1,099.17 = 522.65/x
  3. Step 3: Cross multiply
    733.46x = 1,099.17 × 522.65
  4. Step 4: Simplify right side
    733.46x = 574,483.95
  5. Step 5: Solve for x
    x = 574,483.95/733.46
  6. Step 6: Final answer
    x = 783.26

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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.