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Finding the Fourth Proportional to 888.31, 1,226.08 and 589.62

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Solution

The fourth proportional to 888.31, 1,226.08 and 589.62 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.31 : 1,226.08 = 589.62 : x
  2. Step 2: Convert to fraction form
    888.31/1,226.08 = 589.62/x
  3. Step 3: Cross multiply
    888.31x = 1,226.08 × 589.62
  4. Step 4: Simplify right side
    888.31x = 722,921.29
  5. Step 5: Solve for x
    x = 722,921.29/888.31
  6. Step 6: Final answer
    x = 813.82

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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.