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Finding the Fourth Proportional to 891.53, 1,230.65 and 798.11

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Solution

The fourth proportional to 891.53, 1,230.65 and 798.11 is: 1,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.53 : 1,230.65 = 798.11 : x
  2. Step 2: Convert to fraction form
    891.53/1,230.65 = 798.11/x
  3. Step 3: Cross multiply
    891.53x = 1,230.65 × 798.11
  4. Step 4: Simplify right side
    891.53x = 982,186.95
  5. Step 5: Solve for x
    x = 982,186.95/891.53
  6. Step 6: Final answer
    x = 1,101.69

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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.