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Finding the Fourth Proportional to 1,000.21, 1,380.32 and 558.10

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Solution

The fourth proportional to 1,000.21, 1,380.32 and 558.10 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.21 : 1,380.32 = 558.10 : x
  2. Step 2: Convert to fraction form
    1,000.21/1,380.32 = 558.10/x
  3. Step 3: Cross multiply
    1,000.21x = 1,380.32 × 558.10
  4. Step 4: Simplify right side
    1,000.21x = 770,356.59
  5. Step 5: Solve for x
    x = 770,356.59/1,000.21
  6. Step 6: Final answer
    x = 770.19

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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.