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Finding the Fourth Proportional to 907.43, 1,251.83 and 534.17

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Solution

The fourth proportional to 907.43, 1,251.83 and 534.17 is: 736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.43 : 1,251.83 = 534.17 : x
  2. Step 2: Convert to fraction form
    907.43/1,251.83 = 534.17/x
  3. Step 3: Cross multiply
    907.43x = 1,251.83 × 534.17
  4. Step 4: Simplify right side
    907.43x = 668,685.80
  5. Step 5: Solve for x
    x = 668,685.80/907.43
  6. Step 6: Final answer
    x = 736.90

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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.