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Finding the Fourth Proportional to 1,067.14, 1,599.63 and 510.85

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Solution

The fourth proportional to 1,067.14, 1,599.63 and 510.85 is: 765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.14 : 1,599.63 = 510.85 : x
  2. Step 2: Convert to fraction form
    1,067.14/1,599.63 = 510.85/x
  3. Step 3: Cross multiply
    1,067.14x = 1,599.63 × 510.85
  4. Step 4: Simplify right side
    1,067.14x = 817,170.99
  5. Step 5: Solve for x
    x = 817,170.99/1,067.14
  6. Step 6: Final answer
    x = 765.76

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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.