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Finding the Fourth Proportional to 613.42, 847.15 and 525.58

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Solution

The fourth proportional to 613.42, 847.15 and 525.58 is: 725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 847.15 = 525.58 : x
  2. Step 2: Convert to fraction form
    613.42/847.15 = 525.58/x
  3. Step 3: Cross multiply
    613.42x = 847.15 × 525.58
  4. Step 4: Simplify right side
    613.42x = 445,245.10
  5. Step 5: Solve for x
    x = 445,245.10/613.42
  6. Step 6: Final answer
    x = 725.84

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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.