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Finding the Fourth Proportional to 1,008.12, 1,391.34 and 746.88

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Solution

The fourth proportional to 1,008.12, 1,391.34 and 746.88 is: 1,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.12 : 1,391.34 = 746.88 : x
  2. Step 2: Convert to fraction form
    1,008.12/1,391.34 = 746.88/x
  3. Step 3: Cross multiply
    1,008.12x = 1,391.34 × 746.88
  4. Step 4: Simplify right side
    1,008.12x = 1,039,164.02
  5. Step 5: Solve for x
    x = 1,039,164.02/1,008.12
  6. Step 6: Final answer
    x = 1,030.79

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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.