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Finding the Fourth Proportional to 688.41, 1,024.82 and 684.77

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Solution

The fourth proportional to 688.41, 1,024.82 and 684.77 is: 1,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 1,024.82 = 684.77 : x
  2. Step 2: Convert to fraction form
    688.41/1,024.82 = 684.77/x
  3. Step 3: Cross multiply
    688.41x = 1,024.82 × 684.77
  4. Step 4: Simplify right side
    688.41x = 701,757.44
  5. Step 5: Solve for x
    x = 701,757.44/688.41
  6. Step 6: Final answer
    x = 1,019.39

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Why These Related Problems?

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