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Finding the Fourth Proportional to 1,289.53, 1,778.85 and 1,113.22

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Solution

The fourth proportional to 1,289.53, 1,778.85 and 1,113.22 is: 1,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.53 : 1,778.85 = 1,113.22 : x
  2. Step 2: Convert to fraction form
    1,289.53/1,778.85 = 1,113.22/x
  3. Step 3: Cross multiply
    1,289.53x = 1,778.85 × 1,113.22
  4. Step 4: Simplify right side
    1,289.53x = 1,980,246.95
  5. Step 5: Solve for x
    x = 1,980,246.95/1,289.53
  6. Step 6: Final answer
    x = 1,535.64

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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.