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Finding the Fourth Proportional to 1,445.27, 1,994.42 and 815.79

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Solution

The fourth proportional to 1,445.27, 1,994.42 and 815.79 is: 1,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.27 : 1,994.42 = 815.79 : x
  2. Step 2: Convert to fraction form
    1,445.27/1,994.42 = 815.79/x
  3. Step 3: Cross multiply
    1,445.27x = 1,994.42 × 815.79
  4. Step 4: Simplify right side
    1,445.27x = 1,627,023.81
  5. Step 5: Solve for x
    x = 1,627,023.81/1,445.27
  6. Step 6: Final answer
    x = 1,125.76

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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.