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Finding the Fourth Proportional to 1,195.01, 1,788.27 and 881.91

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Solution

The fourth proportional to 1,195.01, 1,788.27 and 881.91 is: 1,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.01 : 1,788.27 = 881.91 : x
  2. Step 2: Convert to fraction form
    1,195.01/1,788.27 = 881.91/x
  3. Step 3: Cross multiply
    1,195.01x = 1,788.27 × 881.91
  4. Step 4: Simplify right side
    1,195.01x = 1,577,093.20
  5. Step 5: Solve for x
    x = 1,577,093.20/1,195.01
  6. Step 6: Final answer
    x = 1,319.74

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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.