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Finding the Fourth Proportional to 1,612.77, 2,419.55 and 517.24

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Solution

The fourth proportional to 1,612.77, 2,419.55 and 517.24 is: 775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.77 : 2,419.55 = 517.24 : x
  2. Step 2: Convert to fraction form
    1,612.77/2,419.55 = 517.24/x
  3. Step 3: Cross multiply
    1,612.77x = 2,419.55 × 517.24
  4. Step 4: Simplify right side
    1,612.77x = 1,251,488.04
  5. Step 5: Solve for x
    x = 1,251,488.04/1,612.77
  6. Step 6: Final answer
    x = 775.99

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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.