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Finding the Fourth Proportional to 711.72, 1,066.62 and 423.36

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Solution

The fourth proportional to 711.72, 1,066.62 and 423.36 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 1,066.62 = 423.36 : x
  2. Step 2: Convert to fraction form
    711.72/1,066.62 = 423.36/x
  3. Step 3: Cross multiply
    711.72x = 1,066.62 × 423.36
  4. Step 4: Simplify right side
    711.72x = 451,564.24
  5. Step 5: Solve for x
    x = 451,564.24/711.72
  6. Step 6: Final answer
    x = 634.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.