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Finding the Fourth Proportional to 891.07, 1,344.51 and 891.07

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Solution

The fourth proportional to 891.07, 1,344.51 and 891.07 is: 1,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.07 : 1,344.51 = 891.07 : x
  2. Step 2: Convert to fraction form
    891.07/1,344.51 = 891.07/x
  3. Step 3: Cross multiply
    891.07x = 1,344.51 × 891.07
  4. Step 4: Simplify right side
    891.07x = 1,198,041.35
  5. Step 5: Solve for x
    x = 1,198,041.35/891.07
  6. Step 6: Final answer
    x = 1,344.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.