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Finding the Fourth Proportional to 1,380.20, 2,069.08 and 558.32

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Solution

The fourth proportional to 1,380.20, 2,069.08 and 558.32 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.20 : 2,069.08 = 558.32 : x
  2. Step 2: Convert to fraction form
    1,380.20/2,069.08 = 558.32/x
  3. Step 3: Cross multiply
    1,380.20x = 2,069.08 × 558.32
  4. Step 4: Simplify right side
    1,380.20x = 1,155,197.00
  5. Step 5: Solve for x
    x = 1,155,197.00/1,380.20
  6. Step 6: Final answer
    x = 836.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.