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Finding the Fourth Proportional to 668.57, 923.45 and 564.02

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Solution

The fourth proportional to 668.57, 923.45 and 564.02 is: 779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.57 : 923.45 = 564.02 : x
  2. Step 2: Convert to fraction form
    668.57/923.45 = 564.02/x
  3. Step 3: Cross multiply
    668.57x = 923.45 × 564.02
  4. Step 4: Simplify right side
    668.57x = 520,836.83
  5. Step 5: Solve for x
    x = 520,836.83/668.57
  6. Step 6: Final answer
    x = 779.04

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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.