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Finding the Fourth Proportional to 1,101.18, 1,521.21 and 879.84

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Solution

The fourth proportional to 1,101.18, 1,521.21 and 879.84 is: 1,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.18 : 1,521.21 = 879.84 : x
  2. Step 2: Convert to fraction form
    1,101.18/1,521.21 = 879.84/x
  3. Step 3: Cross multiply
    1,101.18x = 1,521.21 × 879.84
  4. Step 4: Simplify right side
    1,101.18x = 1,338,421.41
  5. Step 5: Solve for x
    x = 1,338,421.41/1,101.18
  6. Step 6: Final answer
    x = 1,215.44

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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.