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Finding the Fourth Proportional to 668.79, 923.34 and 501.66

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Solution

The fourth proportional to 668.79, 923.34 and 501.66 is: 692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 923.34 = 501.66 : x
  2. Step 2: Convert to fraction form
    668.79/923.34 = 501.66/x
  3. Step 3: Cross multiply
    668.79x = 923.34 × 501.66
  4. Step 4: Simplify right side
    668.79x = 463,198.13
  5. Step 5: Solve for x
    x = 463,198.13/668.79
  6. Step 6: Final answer
    x = 692.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.