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Finding the Fourth Proportional to 1,378.19, 2,067.18 and 500.66

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Solution

The fourth proportional to 1,378.19, 2,067.18 and 500.66 is: 750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.19 : 2,067.18 = 500.66 : x
  2. Step 2: Convert to fraction form
    1,378.19/2,067.18 = 500.66/x
  3. Step 3: Cross multiply
    1,378.19x = 2,067.18 × 500.66
  4. Step 4: Simplify right side
    1,378.19x = 1,034,954.34
  5. Step 5: Solve for x
    x = 1,034,954.34/1,378.19
  6. Step 6: Final answer
    x = 750.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.