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Finding the Fourth Proportional to 838.96, 1,253.07 and 654.38

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Solution

The fourth proportional to 838.96, 1,253.07 and 654.38 is: 977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.96 : 1,253.07 = 654.38 : x
  2. Step 2: Convert to fraction form
    838.96/1,253.07 = 654.38/x
  3. Step 3: Cross multiply
    838.96x = 1,253.07 × 654.38
  4. Step 4: Simplify right side
    838.96x = 819,982.38
  5. Step 5: Solve for x
    x = 819,982.38/838.96
  6. Step 6: Final answer
    x = 977.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.