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Finding the Fourth Proportional to 1,048.11, 1,572.21 and 398.89

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Solution

The fourth proportional to 1,048.11, 1,572.21 and 398.89 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.11 : 1,572.21 = 398.89 : x
  2. Step 2: Convert to fraction form
    1,048.11/1,572.21 = 398.89/x
  3. Step 3: Cross multiply
    1,048.11x = 1,572.21 × 398.89
  4. Step 4: Simplify right side
    1,048.11x = 627,138.85
  5. Step 5: Solve for x
    x = 627,138.85/1,048.11
  6. Step 6: Final answer
    x = 598.35

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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.