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Finding the Fourth Proportional to 1,221.18, 1,832.52 and 701.84

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Solution

The fourth proportional to 1,221.18, 1,832.52 and 701.84 is: 1,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.18 : 1,832.52 = 701.84 : x
  2. Step 2: Convert to fraction form
    1,221.18/1,832.52 = 701.84/x
  3. Step 3: Cross multiply
    1,221.18x = 1,832.52 × 701.84
  4. Step 4: Simplify right side
    1,221.18x = 1,286,135.84
  5. Step 5: Solve for x
    x = 1,286,135.84/1,221.18
  6. Step 6: Final answer
    x = 1,053.19

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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.