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Finding the Fourth Proportional to 1,379.59, 2,067.63 and 647.56

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Solution

The fourth proportional to 1,379.59, 2,067.63 and 647.56 is: 970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.59 : 2,067.63 = 647.56 : x
  2. Step 2: Convert to fraction form
    1,379.59/2,067.63 = 647.56/x
  3. Step 3: Cross multiply
    1,379.59x = 2,067.63 × 647.56
  4. Step 4: Simplify right side
    1,379.59x = 1,338,914.48
  5. Step 5: Solve for x
    x = 1,338,914.48/1,379.59
  6. Step 6: Final answer
    x = 970.52

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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.