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Finding the Fourth Proportional to 1,098.82, 1,648.26 and 482.21

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Solution

The fourth proportional to 1,098.82, 1,648.26 and 482.21 is: 723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.82 : 1,648.26 = 482.21 : x
  2. Step 2: Convert to fraction form
    1,098.82/1,648.26 = 482.21/x
  3. Step 3: Cross multiply
    1,098.82x = 1,648.26 × 482.21
  4. Step 4: Simplify right side
    1,098.82x = 794,807.45
  5. Step 5: Solve for x
    x = 794,807.45/1,098.82
  6. Step 6: Final answer
    x = 723.33

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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.