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Finding the Fourth Proportional to 613.09, 921.46 and 567.83

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Solution

The fourth proportional to 613.09, 921.46 and 567.83 is: 853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 921.46 = 567.83 : x
  2. Step 2: Convert to fraction form
    613.09/921.46 = 567.83/x
  3. Step 3: Cross multiply
    613.09x = 921.46 × 567.83
  4. Step 4: Simplify right side
    613.09x = 523,232.63
  5. Step 5: Solve for x
    x = 523,232.63/613.09
  6. Step 6: Final answer
    x = 853.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.