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Finding the Fourth Proportional to 891.98, 1,231.50 and 577.40

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Solution

The fourth proportional to 891.98, 1,231.50 and 577.40 is: 797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.98 : 1,231.50 = 577.40 : x
  2. Step 2: Convert to fraction form
    891.98/1,231.50 = 577.40/x
  3. Step 3: Cross multiply
    891.98x = 1,231.50 × 577.40
  4. Step 4: Simplify right side
    891.98x = 711,068.10
  5. Step 5: Solve for x
    x = 711,068.10/891.98
  6. Step 6: Final answer
    x = 797.18

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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.