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Finding the Fourth Proportional to 684.06, 1,024.21 and 439.84

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Solution

The fourth proportional to 684.06, 1,024.21 and 439.84 is: 658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.06 : 1,024.21 = 439.84 : x
  2. Step 2: Convert to fraction form
    684.06/1,024.21 = 439.84/x
  3. Step 3: Cross multiply
    684.06x = 1,024.21 × 439.84
  4. Step 4: Simplify right side
    684.06x = 450,488.53
  5. Step 5: Solve for x
    x = 450,488.53/684.06
  6. Step 6: Final answer
    x = 658.55

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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.