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Finding the Fourth Proportional to 1,067.64, 1,599.68 and 774.76

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Solution

The fourth proportional to 1,067.64, 1,599.68 and 774.76 is: 1,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.64 : 1,599.68 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,067.64/1,599.68 = 774.76/x
  3. Step 3: Cross multiply
    1,067.64x = 1,599.68 × 774.76
  4. Step 4: Simplify right side
    1,067.64x = 1,239,368.08
  5. Step 5: Solve for x
    x = 1,239,368.08/1,067.64
  6. Step 6: Final answer
    x = 1,160.85

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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.