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Finding the Fourth Proportional to 1,302.17, 1,793.22 and 908.51

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Solution

The fourth proportional to 1,302.17, 1,793.22 and 908.51 is: 1,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.17 : 1,793.22 = 908.51 : x
  2. Step 2: Convert to fraction form
    1,302.17/1,793.22 = 908.51/x
  3. Step 3: Cross multiply
    1,302.17x = 1,793.22 × 908.51
  4. Step 4: Simplify right side
    1,302.17x = 1,629,158.30
  5. Step 5: Solve for x
    x = 1,629,158.30/1,302.17
  6. Step 6: Final answer
    x = 1,251.11

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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.