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Finding the Fourth Proportional to 699.37, 1,048.17 and 681.20

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Solution

The fourth proportional to 699.37, 1,048.17 and 681.20 is: 1,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 1,048.17 = 681.20 : x
  2. Step 2: Convert to fraction form
    699.37/1,048.17 = 681.20/x
  3. Step 3: Cross multiply
    699.37x = 1,048.17 × 681.20
  4. Step 4: Simplify right side
    699.37x = 714,013.40
  5. Step 5: Solve for x
    x = 714,013.40/699.37
  6. Step 6: Final answer
    x = 1,020.94

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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.