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Finding the Fourth Proportional to 688.10, 1,026.50 and 669.27

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Solution

The fourth proportional to 688.10, 1,026.50 and 669.27 is: 998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 1,026.50 = 669.27 : x
  2. Step 2: Convert to fraction form
    688.10/1,026.50 = 669.27/x
  3. Step 3: Cross multiply
    688.10x = 1,026.50 × 669.27
  4. Step 4: Simplify right side
    688.10x = 687,002.31
  5. Step 5: Solve for x
    x = 687,002.31/688.10
  6. Step 6: Final answer
    x = 998.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.