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Finding the Fourth Proportional to 1,181.59, 1,772.48 and 451.17

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Solution

The fourth proportional to 1,181.59, 1,772.48 and 451.17 is: 676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.59 : 1,772.48 = 451.17 : x
  2. Step 2: Convert to fraction form
    1,181.59/1,772.48 = 451.17/x
  3. Step 3: Cross multiply
    1,181.59x = 1,772.48 × 451.17
  4. Step 4: Simplify right side
    1,181.59x = 799,690.93
  5. Step 5: Solve for x
    x = 799,690.93/1,181.59
  6. Step 6: Final answer
    x = 676.79

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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.