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Finding the Fourth Proportional to 891.13, 1,230.41 and 576.58

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Solution

The fourth proportional to 891.13, 1,230.41 and 576.58 is: 796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.13 : 1,230.41 = 576.58 : x
  2. Step 2: Convert to fraction form
    891.13/1,230.41 = 576.58/x
  3. Step 3: Cross multiply
    891.13x = 1,230.41 × 576.58
  4. Step 4: Simplify right side
    891.13x = 709,429.80
  5. Step 5: Solve for x
    x = 709,429.80/891.13
  6. Step 6: Final answer
    x = 796.10

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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.