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Finding the Fourth Proportional to 1,267.45, 1,901.17 and 343.10

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Solution

The fourth proportional to 1,267.45, 1,901.17 and 343.10 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.45 : 1,901.17 = 343.10 : x
  2. Step 2: Convert to fraction form
    1,267.45/1,901.17 = 343.10/x
  3. Step 3: Cross multiply
    1,267.45x = 1,901.17 × 343.10
  4. Step 4: Simplify right side
    1,267.45x = 652,296.61
  5. Step 5: Solve for x
    x = 652,296.61/1,267.45
  6. Step 6: Final answer
    x = 514.65

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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.