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Finding the Fourth Proportional to 1,380.60, 2,071.30 and 558.45

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Solution

The fourth proportional to 1,380.60, 2,071.30 and 558.45 is: 837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.60 : 2,071.30 = 558.45 : x
  2. Step 2: Convert to fraction form
    1,380.60/2,071.30 = 558.45/x
  3. Step 3: Cross multiply
    1,380.60x = 2,071.30 × 558.45
  4. Step 4: Simplify right side
    1,380.60x = 1,156,717.49
  5. Step 5: Solve for x
    x = 1,156,717.49/1,380.60
  6. Step 6: Final answer
    x = 837.84

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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.