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Finding the Fourth Proportional to 1,613.49, 2,419.62 and 517.56

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Solution

The fourth proportional to 1,613.49, 2,419.62 and 517.56 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.49 : 2,419.62 = 517.56 : x
  2. Step 2: Convert to fraction form
    1,613.49/2,419.62 = 517.56/x
  3. Step 3: Cross multiply
    1,613.49x = 2,419.62 × 517.56
  4. Step 4: Simplify right side
    1,613.49x = 1,252,298.53
  5. Step 5: Solve for x
    x = 1,252,298.53/1,613.49
  6. Step 6: Final answer
    x = 776.14

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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.