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Finding the Fourth Proportional to 1,374.94, 2,061.75 and 643.90

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Solution

The fourth proportional to 1,374.94, 2,061.75 and 643.90 is: 965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.94 : 2,061.75 = 643.90 : x
  2. Step 2: Convert to fraction form
    1,374.94/2,061.75 = 643.90/x
  3. Step 3: Cross multiply
    1,374.94x = 2,061.75 × 643.90
  4. Step 4: Simplify right side
    1,374.94x = 1,327,560.83
  5. Step 5: Solve for x
    x = 1,327,560.83/1,374.94
  6. Step 6: Final answer
    x = 965.54

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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.