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Finding the Fourth Proportional to 1,743.31, 2,614.83 and 647.20

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Solution

The fourth proportional to 1,743.31, 2,614.83 and 647.20 is: 970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.31 : 2,614.83 = 647.20 : x
  2. Step 2: Convert to fraction form
    1,743.31/2,614.83 = 647.20/x
  3. Step 3: Cross multiply
    1,743.31x = 2,614.83 × 647.20
  4. Step 4: Simplify right side
    1,743.31x = 1,692,317.98
  5. Step 5: Solve for x
    x = 1,692,317.98/1,743.31
  6. Step 6: Final answer
    x = 970.75

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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.