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Finding the Fourth Proportional to 892.14, 1,231.50 and 597.30

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Solution

The fourth proportional to 892.14, 1,231.50 and 597.30 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,231.50 = 597.30 : x
  2. Step 2: Convert to fraction form
    892.14/1,231.50 = 597.30/x
  3. Step 3: Cross multiply
    892.14x = 1,231.50 × 597.30
  4. Step 4: Simplify right side
    892.14x = 735,574.95
  5. Step 5: Solve for x
    x = 735,574.95/892.14
  6. Step 6: Final answer
    x = 824.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.