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Finding the Fourth Proportional to 1,008.44, 1,391.40 and 588.55

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Solution

The fourth proportional to 1,008.44, 1,391.40 and 588.55 is: 812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.44 : 1,391.40 = 588.55 : x
  2. Step 2: Convert to fraction form
    1,008.44/1,391.40 = 588.55/x
  3. Step 3: Cross multiply
    1,008.44x = 1,391.40 × 588.55
  4. Step 4: Simplify right side
    1,008.44x = 818,910.21
  5. Step 5: Solve for x
    x = 818,910.21/1,008.44
  6. Step 6: Final answer
    x = 812.06

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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.