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Finding the Fourth Proportional to 891.18, 1,228.38 and 704.34

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Solution

The fourth proportional to 891.18, 1,228.38 and 704.34 is: 970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.18 : 1,228.38 = 704.34 : x
  2. Step 2: Convert to fraction form
    891.18/1,228.38 = 704.34/x
  3. Step 3: Cross multiply
    891.18x = 1,228.38 × 704.34
  4. Step 4: Simplify right side
    891.18x = 865,197.17
  5. Step 5: Solve for x
    x = 865,197.17/891.18
  6. Step 6: Final answer
    x = 970.84

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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.