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Finding the Fourth Proportional to 668.25, 998.12 and 564.37

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Solution

The fourth proportional to 668.25, 998.12 and 564.37 is: 842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.25 : 998.12 = 564.37 : x
  2. Step 2: Convert to fraction form
    668.25/998.12 = 564.37/x
  3. Step 3: Cross multiply
    668.25x = 998.12 × 564.37
  4. Step 4: Simplify right side
    668.25x = 563,307.90
  5. Step 5: Solve for x
    x = 563,307.90/668.25
  6. Step 6: Final answer
    x = 842.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.