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Finding the Fourth Proportional to 1,016.80, 1,524.04 and 774.34

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Solution

The fourth proportional to 1,016.80, 1,524.04 and 774.34 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.80 : 1,524.04 = 774.34 : x
  2. Step 2: Convert to fraction form
    1,016.80/1,524.04 = 774.34/x
  3. Step 3: Cross multiply
    1,016.80x = 1,524.04 × 774.34
  4. Step 4: Simplify right side
    1,016.80x = 1,180,125.13
  5. Step 5: Solve for x
    x = 1,180,125.13/1,016.80
  6. Step 6: Final answer
    x = 1,160.63

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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.