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Finding the Fourth Proportional to 907.52, 1,251.66 and 608.66

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Solution

The fourth proportional to 907.52, 1,251.66 and 608.66 is: 839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.52 : 1,251.66 = 608.66 : x
  2. Step 2: Convert to fraction form
    907.52/1,251.66 = 608.66/x
  3. Step 3: Cross multiply
    907.52x = 1,251.66 × 608.66
  4. Step 4: Simplify right side
    907.52x = 761,836.09
  5. Step 5: Solve for x
    x = 761,836.09/907.52
  6. Step 6: Final answer
    x = 839.47

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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.