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Finding the Fourth Proportional to 1,186.39, 1,777.01 and 774.28

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Solution

The fourth proportional to 1,186.39, 1,777.01 and 774.28 is: 1,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.39 : 1,777.01 = 774.28 : x
  2. Step 2: Convert to fraction form
    1,186.39/1,777.01 = 774.28/x
  3. Step 3: Cross multiply
    1,186.39x = 1,777.01 × 774.28
  4. Step 4: Simplify right side
    1,186.39x = 1,375,900.80
  5. Step 5: Solve for x
    x = 1,375,900.80/1,186.39
  6. Step 6: Final answer
    x = 1,159.74

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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.