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Finding the Fourth Proportional to 668.48, 923.18 and 519.66

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Solution

The fourth proportional to 668.48, 923.18 and 519.66 is: 717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 923.18 = 519.66 : x
  2. Step 2: Convert to fraction form
    668.48/923.18 = 519.66/x
  3. Step 3: Cross multiply
    668.48x = 923.18 × 519.66
  4. Step 4: Simplify right side
    668.48x = 479,737.12
  5. Step 5: Solve for x
    x = 479,737.12/668.48
  6. Step 6: Final answer
    x = 717.66

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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.