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Finding the Fourth Proportional to 613.05, 844.58 and 501.87

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Solution

The fourth proportional to 613.05, 844.58 and 501.87 is: 691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.05 : 844.58 = 501.87 : x
  2. Step 2: Convert to fraction form
    613.05/844.58 = 501.87/x
  3. Step 3: Cross multiply
    613.05x = 844.58 × 501.87
  4. Step 4: Simplify right side
    613.05x = 423,866.86
  5. Step 5: Solve for x
    x = 423,866.86/613.05
  6. Step 6: Final answer
    x = 691.41

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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.