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Finding the Fourth Proportional to 891.66, 1,231.25 and 597.10

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Solution

The fourth proportional to 891.66, 1,231.25 and 597.10 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.66 : 1,231.25 = 597.10 : x
  2. Step 2: Convert to fraction form
    891.66/1,231.25 = 597.10/x
  3. Step 3: Cross multiply
    891.66x = 1,231.25 × 597.10
  4. Step 4: Simplify right side
    891.66x = 735,175.52
  5. Step 5: Solve for x
    x = 735,175.52/891.66
  6. Step 6: Final answer
    x = 824.50

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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.