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Finding the Fourth Proportional to 1,150.09, 1,587.24 and 884.80

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Solution

The fourth proportional to 1,150.09, 1,587.24 and 884.80 is: 1,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.09 : 1,587.24 = 884.80 : x
  2. Step 2: Convert to fraction form
    1,150.09/1,587.24 = 884.80/x
  3. Step 3: Cross multiply
    1,150.09x = 1,587.24 × 884.80
  4. Step 4: Simplify right side
    1,150.09x = 1,404,389.95
  5. Step 5: Solve for x
    x = 1,404,389.95/1,150.09
  6. Step 6: Final answer
    x = 1,221.11

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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.