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Finding the Fourth Proportional to 733.42, 1,100.42 and 514.50

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Solution

The fourth proportional to 733.42, 1,100.42 and 514.50 is: 771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.42 : 1,100.42 = 514.50 : x
  2. Step 2: Convert to fraction form
    733.42/1,100.42 = 514.50/x
  3. Step 3: Cross multiply
    733.42x = 1,100.42 × 514.50
  4. Step 4: Simplify right side
    733.42x = 566,167.51
  5. Step 5: Solve for x
    x = 566,167.51/733.42
  6. Step 6: Final answer
    x = 771.95

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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.