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Finding the Fourth Proportional to 1,066.34, 1,472.01 and 717.23

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Solution

The fourth proportional to 1,066.34, 1,472.01 and 717.23 is: 990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.34 : 1,472.01 = 717.23 : x
  2. Step 2: Convert to fraction form
    1,066.34/1,472.01 = 717.23/x
  3. Step 3: Cross multiply
    1,066.34x = 1,472.01 × 717.23
  4. Step 4: Simplify right side
    1,066.34x = 1,055,770.72
  5. Step 5: Solve for x
    x = 1,055,770.72/1,066.34
  6. Step 6: Final answer
    x = 990.09

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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.