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Finding the Fourth Proportional to 1,181.24, 1,627.52 and 881.22

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Solution

The fourth proportional to 1,181.24, 1,627.52 and 881.22 is: 1,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.24 : 1,627.52 = 881.22 : x
  2. Step 2: Convert to fraction form
    1,181.24/1,627.52 = 881.22/x
  3. Step 3: Cross multiply
    1,181.24x = 1,627.52 × 881.22
  4. Step 4: Simplify right side
    1,181.24x = 1,434,203.17
  5. Step 5: Solve for x
    x = 1,434,203.17/1,181.24
  6. Step 6: Final answer
    x = 1,214.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.