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Finding the Fourth Proportional to 690.96, 1,034.76 and 517.44

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Solution

The fourth proportional to 690.96, 1,034.76 and 517.44 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.96 : 1,034.76 = 517.44 : x
  2. Step 2: Convert to fraction form
    690.96/1,034.76 = 517.44/x
  3. Step 3: Cross multiply
    690.96x = 1,034.76 × 517.44
  4. Step 4: Simplify right side
    690.96x = 535,426.21
  5. Step 5: Solve for x
    x = 535,426.21/690.96
  6. Step 6: Final answer
    x = 774.90

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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.