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Finding the Fourth Proportional to 891.77, 1,231.29 and 597.74

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Solution

The fourth proportional to 891.77, 1,231.29 and 597.74 is: 825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.77 : 1,231.29 = 597.74 : x
  2. Step 2: Convert to fraction form
    891.77/1,231.29 = 597.74/x
  3. Step 3: Cross multiply
    891.77x = 1,231.29 × 597.74
  4. Step 4: Simplify right side
    891.77x = 735,985.13
  5. Step 5: Solve for x
    x = 735,985.13/891.77
  6. Step 6: Final answer
    x = 825.31

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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.