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Finding the Fourth Proportional to 891.90, 1,225.62 and 725.76

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Solution

The fourth proportional to 891.90, 1,225.62 and 725.76 is: 997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.90 : 1,225.62 = 725.76 : x
  2. Step 2: Convert to fraction form
    891.90/1,225.62 = 725.76/x
  3. Step 3: Cross multiply
    891.90x = 1,225.62 × 725.76
  4. Step 4: Simplify right side
    891.90x = 889,505.97
  5. Step 5: Solve for x
    x = 889,505.97/891.90
  6. Step 6: Final answer
    x = 997.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.