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Finding the Fourth Proportional to 606.42, 836.19 and 513.54

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Solution

The fourth proportional to 606.42, 836.19 and 513.54 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.42 : 836.19 = 513.54 : x
  2. Step 2: Convert to fraction form
    606.42/836.19 = 513.54/x
  3. Step 3: Cross multiply
    606.42x = 836.19 × 513.54
  4. Step 4: Simplify right side
    606.42x = 429,417.01
  5. Step 5: Solve for x
    x = 429,417.01/606.42
  6. Step 6: Final answer
    x = 708.12

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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.