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Finding the Fourth Proportional to 891.25, 1,335.71 and 645.29

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Solution

The fourth proportional to 891.25, 1,335.71 and 645.29 is: 967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.25 : 1,335.71 = 645.29 : x
  2. Step 2: Convert to fraction form
    891.25/1,335.71 = 645.29/x
  3. Step 3: Cross multiply
    891.25x = 1,335.71 × 645.29
  4. Step 4: Simplify right side
    891.25x = 861,915.24
  5. Step 5: Solve for x
    x = 861,915.24/891.25
  6. Step 6: Final answer
    x = 967.08

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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.