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Finding the Fourth Proportional to 613.62, 846.72 and 520.74

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Solution

The fourth proportional to 613.62, 846.72 and 520.74 is: 718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.62 : 846.72 = 520.74 : x
  2. Step 2: Convert to fraction form
    613.62/846.72 = 520.74/x
  3. Step 3: Cross multiply
    613.62x = 846.72 × 520.74
  4. Step 4: Simplify right side
    613.62x = 440,920.97
  5. Step 5: Solve for x
    x = 440,920.97/613.62
  6. Step 6: Final answer
    x = 718.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.