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Finding the Fourth Proportional to 687.86, 1,032.36 and 682.46

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Solution

The fourth proportional to 687.86, 1,032.36 and 682.46 is: 1,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 1,032.36 = 682.46 : x
  2. Step 2: Convert to fraction form
    687.86/1,032.36 = 682.46/x
  3. Step 3: Cross multiply
    687.86x = 1,032.36 × 682.46
  4. Step 4: Simplify right side
    687.86x = 704,544.41
  5. Step 5: Solve for x
    x = 704,544.41/687.86
  6. Step 6: Final answer
    x = 1,024.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.