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Finding the Fourth Proportional to 1,048.12, 1,572.02 and 398.85

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Solution

The fourth proportional to 1,048.12, 1,572.02 and 398.85 is: 598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.12 : 1,572.02 = 398.85 : x
  2. Step 2: Convert to fraction form
    1,048.12/1,572.02 = 398.85/x
  3. Step 3: Cross multiply
    1,048.12x = 1,572.02 × 398.85
  4. Step 4: Simplify right side
    1,048.12x = 627,000.18
  5. Step 5: Solve for x
    x = 627,000.18/1,048.12
  6. Step 6: Final answer
    x = 598.21

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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.