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Finding the Fourth Proportional to 1,214.33, 1,821.31 and 597.86

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Solution

The fourth proportional to 1,214.33, 1,821.31 and 597.86 is: 896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.33 : 1,821.31 = 597.86 : x
  2. Step 2: Convert to fraction form
    1,214.33/1,821.31 = 597.86/x
  3. Step 3: Cross multiply
    1,214.33x = 1,821.31 × 597.86
  4. Step 4: Simplify right side
    1,214.33x = 1,088,891.46
  5. Step 5: Solve for x
    x = 1,088,891.46/1,214.33
  6. Step 6: Final answer
    x = 896.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.