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Finding the Fourth Proportional to 1,225.81, 1,693.73 and 1,078.19

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Solution

The fourth proportional to 1,225.81, 1,693.73 and 1,078.19 is: 1,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.81 : 1,693.73 = 1,078.19 : x
  2. Step 2: Convert to fraction form
    1,225.81/1,693.73 = 1,078.19/x
  3. Step 3: Cross multiply
    1,225.81x = 1,693.73 × 1,078.19
  4. Step 4: Simplify right side
    1,225.81x = 1,826,148.89
  5. Step 5: Solve for x
    x = 1,826,148.89/1,225.81
  6. Step 6: Final answer
    x = 1,489.75

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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.