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Finding the Fourth Proportional to 774.64, 1,069.03 and 443.17

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Solution

The fourth proportional to 774.64, 1,069.03 and 443.17 is: 611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,069.03 = 443.17 : x
  2. Step 2: Convert to fraction form
    774.64/1,069.03 = 443.17/x
  3. Step 3: Cross multiply
    774.64x = 1,069.03 × 443.17
  4. Step 4: Simplify right side
    774.64x = 473,756.68
  5. Step 5: Solve for x
    x = 473,756.68/774.64
  6. Step 6: Final answer
    x = 611.59

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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.