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Finding the Fourth Proportional to 1,373.78, 2,060.67 and 643.70

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Solution

The fourth proportional to 1,373.78, 2,060.67 and 643.70 is: 965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.78 : 2,060.67 = 643.70 : x
  2. Step 2: Convert to fraction form
    1,373.78/2,060.67 = 643.70/x
  3. Step 3: Cross multiply
    1,373.78x = 2,060.67 × 643.70
  4. Step 4: Simplify right side
    1,373.78x = 1,326,453.28
  5. Step 5: Solve for x
    x = 1,326,453.28/1,373.78
  6. Step 6: Final answer
    x = 965.55

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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.