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Finding the Fourth Proportional to 1,613.87, 2,418.52 and 688.49

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Solution

The fourth proportional to 1,613.87, 2,418.52 and 688.49 is: 1,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.87 : 2,418.52 = 688.49 : x
  2. Step 2: Convert to fraction form
    1,613.87/2,418.52 = 688.49/x
  3. Step 3: Cross multiply
    1,613.87x = 2,418.52 × 688.49
  4. Step 4: Simplify right side
    1,613.87x = 1,665,126.83
  5. Step 5: Solve for x
    x = 1,665,126.83/1,613.87
  6. Step 6: Final answer
    x = 1,031.76

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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.