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Finding the Fourth Proportional to 907.23, 1,251.28 and 659.37

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Solution

The fourth proportional to 907.23, 1,251.28 and 659.37 is: 909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.23 : 1,251.28 = 659.37 : x
  2. Step 2: Convert to fraction form
    907.23/1,251.28 = 659.37/x
  3. Step 3: Cross multiply
    907.23x = 1,251.28 × 659.37
  4. Step 4: Simplify right side
    907.23x = 825,062.01
  5. Step 5: Solve for x
    x = 825,062.01/907.23
  6. Step 6: Final answer
    x = 909.43

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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.