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Finding the Fourth Proportional to 696.40, 1,042.55 and 514.61

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Solution

The fourth proportional to 696.40, 1,042.55 and 514.61 is: 770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 1,042.55 = 514.61 : x
  2. Step 2: Convert to fraction form
    696.40/1,042.55 = 514.61/x
  3. Step 3: Cross multiply
    696.40x = 1,042.55 × 514.61
  4. Step 4: Simplify right side
    696.40x = 536,501.44
  5. Step 5: Solve for x
    x = 536,501.44/696.40
  6. Step 6: Final answer
    x = 770.39

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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.