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Finding the Fourth Proportional to 774.20, 1,069.13 and 701.30

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Solution

The fourth proportional to 774.20, 1,069.13 and 701.30 is: 968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,069.13 = 701.30 : x
  2. Step 2: Convert to fraction form
    774.20/1,069.13 = 701.30/x
  3. Step 3: Cross multiply
    774.20x = 1,069.13 × 701.30
  4. Step 4: Simplify right side
    774.20x = 749,780.87
  5. Step 5: Solve for x
    x = 749,780.87/774.20
  6. Step 6: Final answer
    x = 968.46

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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.