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Finding the Fourth Proportional to 1,049.34, 1,572.38 and 399.72

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Solution

The fourth proportional to 1,049.34, 1,572.38 and 399.72 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.34 : 1,572.38 = 399.72 : x
  2. Step 2: Convert to fraction form
    1,049.34/1,572.38 = 399.72/x
  3. Step 3: Cross multiply
    1,049.34x = 1,572.38 × 399.72
  4. Step 4: Simplify right side
    1,049.34x = 628,511.73
  5. Step 5: Solve for x
    x = 628,511.73/1,049.34
  6. Step 6: Final answer
    x = 598.96

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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.