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Finding the Fourth Proportional to 666.74, 921.36 and 500.66

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Solution

The fourth proportional to 666.74, 921.36 and 500.66 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 921.36 = 500.66 : x
  2. Step 2: Convert to fraction form
    666.74/921.36 = 500.66/x
  3. Step 3: Cross multiply
    666.74x = 921.36 × 500.66
  4. Step 4: Simplify right side
    666.74x = 461,290.40
  5. Step 5: Solve for x
    x = 461,290.40/666.74
  6. Step 6: Final answer
    x = 691.86

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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.