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Finding the Fourth Proportional to 1,233.56, 1,847.90 and 647.69

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Solution

The fourth proportional to 1,233.56, 1,847.90 and 647.69 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.56 : 1,847.90 = 647.69 : x
  2. Step 2: Convert to fraction form
    1,233.56/1,847.90 = 647.69/x
  3. Step 3: Cross multiply
    1,233.56x = 1,847.90 × 647.69
  4. Step 4: Simplify right side
    1,233.56x = 1,196,858.73
  5. Step 5: Solve for x
    x = 1,196,858.73/1,233.56
  6. Step 6: Final answer
    x = 970.25

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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.