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Finding the Fourth Proportional to 1,445.72, 1,994.36 and 847.82

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Solution

The fourth proportional to 1,445.72, 1,994.36 and 847.82 is: 1,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.72 : 1,994.36 = 847.82 : x
  2. Step 2: Convert to fraction form
    1,445.72/1,994.36 = 847.82/x
  3. Step 3: Cross multiply
    1,445.72x = 1,994.36 × 847.82
  4. Step 4: Simplify right side
    1,445.72x = 1,690,844.08
  5. Step 5: Solve for x
    x = 1,690,844.08/1,445.72
  6. Step 6: Final answer
    x = 1,169.56

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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.