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Finding the Fourth Proportional to 1,358.12, 2,038.20 and 628.21

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Solution

The fourth proportional to 1,358.12, 2,038.20 and 628.21 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.12 : 2,038.20 = 628.21 : x
  2. Step 2: Convert to fraction form
    1,358.12/2,038.20 = 628.21/x
  3. Step 3: Cross multiply
    1,358.12x = 2,038.20 × 628.21
  4. Step 4: Simplify right side
    1,358.12x = 1,280,406.35
  5. Step 5: Solve for x
    x = 1,280,406.35/1,358.12
  6. Step 6: Final answer
    x = 942.78

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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.