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Finding the Fourth Proportional to 891.64, 1,231.15 and 577.12

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Solution

The fourth proportional to 891.64, 1,231.15 and 577.12 is: 796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,231.15 = 577.12 : x
  2. Step 2: Convert to fraction form
    891.64/1,231.15 = 577.12/x
  3. Step 3: Cross multiply
    891.64x = 1,231.15 × 577.12
  4. Step 4: Simplify right side
    891.64x = 710,521.29
  5. Step 5: Solve for x
    x = 710,521.29/891.64
  6. Step 6: Final answer
    x = 796.87

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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.