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Finding the Fourth Proportional to 684.62, 1,023.88 and 608.08

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Solution

The fourth proportional to 684.62, 1,023.88 and 608.08 is: 909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.62 : 1,023.88 = 608.08 : x
  2. Step 2: Convert to fraction form
    684.62/1,023.88 = 608.08/x
  3. Step 3: Cross multiply
    684.62x = 1,023.88 × 608.08
  4. Step 4: Simplify right side
    684.62x = 622,600.95
  5. Step 5: Solve for x
    x = 622,600.95/684.62
  6. Step 6: Final answer
    x = 909.41

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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.