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Finding the Fourth Proportional to 907.26, 1,252.01 and 832.88

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Solution

The fourth proportional to 907.26, 1,252.01 and 832.88 is: 1,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.26 : 1,252.01 = 832.88 : x
  2. Step 2: Convert to fraction form
    907.26/1,252.01 = 832.88/x
  3. Step 3: Cross multiply
    907.26x = 1,252.01 × 832.88
  4. Step 4: Simplify right side
    907.26x = 1,042,763.66
  5. Step 5: Solve for x
    x = 1,042,763.66/907.26
  6. Step 6: Final answer
    x = 1,149.35

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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.