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Finding the Fourth Proportional to 838.57, 1,256.01 and 821.95

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Solution

The fourth proportional to 838.57, 1,256.01 and 821.95 is: 1,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.57 : 1,256.01 = 821.95 : x
  2. Step 2: Convert to fraction form
    838.57/1,256.01 = 821.95/x
  3. Step 3: Cross multiply
    838.57x = 1,256.01 × 821.95
  4. Step 4: Simplify right side
    838.57x = 1,032,377.42
  5. Step 5: Solve for x
    x = 1,032,377.42/838.57
  6. Step 6: Final answer
    x = 1,231.12

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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.