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Finding the Fourth Proportional to 1,445.67, 1,995.35 and 848.43

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Solution

The fourth proportional to 1,445.67, 1,995.35 and 848.43 is: 1,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.67 : 1,995.35 = 848.43 : x
  2. Step 2: Convert to fraction form
    1,445.67/1,995.35 = 848.43/x
  3. Step 3: Cross multiply
    1,445.67x = 1,995.35 × 848.43
  4. Step 4: Simplify right side
    1,445.67x = 1,692,910.56
  5. Step 5: Solve for x
    x = 1,692,910.56/1,445.67
  6. Step 6: Final answer
    x = 1,171.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.