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Finding the Fourth Proportional to 1,444.55, 1,993.44 and 815.05

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Solution

The fourth proportional to 1,444.55, 1,993.44 and 815.05 is: 1,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.55 : 1,993.44 = 815.05 : x
  2. Step 2: Convert to fraction form
    1,444.55/1,993.44 = 815.05/x
  3. Step 3: Cross multiply
    1,444.55x = 1,993.44 × 815.05
  4. Step 4: Simplify right side
    1,444.55x = 1,624,749.20
  5. Step 5: Solve for x
    x = 1,624,749.20/1,444.55
  6. Step 6: Final answer
    x = 1,124.75

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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.