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Finding the Fourth Proportional to 609.78, 841.71 and 517.01

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Solution

The fourth proportional to 609.78, 841.71 and 517.01 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.78 : 841.71 = 517.01 : x
  2. Step 2: Convert to fraction form
    609.78/841.71 = 517.01/x
  3. Step 3: Cross multiply
    609.78x = 841.71 × 517.01
  4. Step 4: Simplify right side
    609.78x = 435,168.28
  5. Step 5: Solve for x
    x = 435,168.28/609.78
  6. Step 6: Final answer
    x = 713.65

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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.