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Finding the Fourth Proportional to 1,267.92, 1,902.29 and 538.11

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Solution

The fourth proportional to 1,267.92, 1,902.29 and 538.11 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.92 : 1,902.29 = 538.11 : x
  2. Step 2: Convert to fraction form
    1,267.92/1,902.29 = 538.11/x
  3. Step 3: Cross multiply
    1,267.92x = 1,902.29 × 538.11
  4. Step 4: Simplify right side
    1,267.92x = 1,023,638.58
  5. Step 5: Solve for x
    x = 1,023,638.58/1,267.92
  6. Step 6: Final answer
    x = 807.34

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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.