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Finding the Fourth Proportional to 711.48, 1,066.97 and 436.75

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Solution

The fourth proportional to 711.48, 1,066.97 and 436.75 is: 654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 1,066.97 = 436.75 : x
  2. Step 2: Convert to fraction form
    711.48/1,066.97 = 436.75/x
  3. Step 3: Cross multiply
    711.48x = 1,066.97 × 436.75
  4. Step 4: Simplify right side
    711.48x = 465,997.57
  5. Step 5: Solve for x
    x = 465,997.57/711.48
  6. Step 6: Final answer
    x = 654.97

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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.