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Finding the Fourth Proportional to 1,049.12, 1,572.78 and 399.40

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Solution

The fourth proportional to 1,049.12, 1,572.78 and 399.40 is: 598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,572.78 = 399.40 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,572.78 = 399.40/x
  3. Step 3: Cross multiply
    1,049.12x = 1,572.78 × 399.40
  4. Step 4: Simplify right side
    1,049.12x = 628,168.33
  5. Step 5: Solve for x
    x = 628,168.33/1,049.12
  6. Step 6: Final answer
    x = 598.76

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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.