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Finding the Fourth Proportional to 681.99, 1,022.08 and 595.10

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Solution

The fourth proportional to 681.99, 1,022.08 and 595.10 is: 891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.99 : 1,022.08 = 595.10 : x
  2. Step 2: Convert to fraction form
    681.99/1,022.08 = 595.10/x
  3. Step 3: Cross multiply
    681.99x = 1,022.08 × 595.10
  4. Step 4: Simplify right side
    681.99x = 608,243.55
  5. Step 5: Solve for x
    x = 608,243.55/681.99
  6. Step 6: Final answer
    x = 891.87

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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.