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Finding the Fourth Proportional to 684.40, 1,018.86 and 680.35

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Solution

The fourth proportional to 684.40, 1,018.86 and 680.35 is: 1,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.40 : 1,018.86 = 680.35 : x
  2. Step 2: Convert to fraction form
    684.40/1,018.86 = 680.35/x
  3. Step 3: Cross multiply
    684.40x = 1,018.86 × 680.35
  4. Step 4: Simplify right side
    684.40x = 693,181.40
  5. Step 5: Solve for x
    x = 693,181.40/684.40
  6. Step 6: Final answer
    x = 1,012.83

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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.