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Finding the Fourth Proportional to 698.90, 1,048.41 and 266.09

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Solution

The fourth proportional to 698.90, 1,048.41 and 266.09 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 1,048.41 = 266.09 : x
  2. Step 2: Convert to fraction form
    698.90/1,048.41 = 266.09/x
  3. Step 3: Cross multiply
    698.90x = 1,048.41 × 266.09
  4. Step 4: Simplify right side
    698.90x = 278,966.17
  5. Step 5: Solve for x
    x = 278,966.17/698.90
  6. Step 6: Final answer
    x = 399.15

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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.