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Finding the Fourth Proportional to 613.71, 922.59 and 594.27

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Solution

The fourth proportional to 613.71, 922.59 and 594.27 is: 893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 922.59 = 594.27 : x
  2. Step 2: Convert to fraction form
    613.71/922.59 = 594.27/x
  3. Step 3: Cross multiply
    613.71x = 922.59 × 594.27
  4. Step 4: Simplify right side
    613.71x = 548,267.56
  5. Step 5: Solve for x
    x = 548,267.56/613.71
  6. Step 6: Final answer
    x = 893.37

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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.