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Finding the Fourth Proportional to 1,380.29, 2,070.20 and 393.03

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Solution

The fourth proportional to 1,380.29, 2,070.20 and 393.03 is: 589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.29 : 2,070.20 = 393.03 : x
  2. Step 2: Convert to fraction form
    1,380.29/2,070.20 = 393.03/x
  3. Step 3: Cross multiply
    1,380.29x = 2,070.20 × 393.03
  4. Step 4: Simplify right side
    1,380.29x = 813,648.74
  5. Step 5: Solve for x
    x = 813,648.74/1,380.29
  6. Step 6: Final answer
    x = 589.48

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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.