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Finding the Fourth Proportional to 1,295.42, 1,788.07 and 881.66

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Solution

The fourth proportional to 1,295.42, 1,788.07 and 881.66 is: 1,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.42 : 1,788.07 = 881.66 : x
  2. Step 2: Convert to fraction form
    1,295.42/1,788.07 = 881.66/x
  3. Step 3: Cross multiply
    1,295.42x = 1,788.07 × 881.66
  4. Step 4: Simplify right side
    1,295.42x = 1,576,469.80
  5. Step 5: Solve for x
    x = 1,576,469.80/1,295.42
  6. Step 6: Final answer
    x = 1,216.96

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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.