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Finding the Fourth Proportional to 959.20, 1,436.34 and 774.52

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Solution

The fourth proportional to 959.20, 1,436.34 and 774.52 is: 1,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.20 : 1,436.34 = 774.52 : x
  2. Step 2: Convert to fraction form
    959.20/1,436.34 = 774.52/x
  3. Step 3: Cross multiply
    959.20x = 1,436.34 × 774.52
  4. Step 4: Simplify right side
    959.20x = 1,112,474.06
  5. Step 5: Solve for x
    x = 1,112,474.06/959.20
  6. Step 6: Final answer
    x = 1,159.79

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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.