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Finding the Fourth Proportional to 1,008.76, 1,392.08 and 676.66

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Solution

The fourth proportional to 1,008.76, 1,392.08 and 676.66 is: 933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.76 : 1,392.08 = 676.66 : x
  2. Step 2: Convert to fraction form
    1,008.76/1,392.08 = 676.66/x
  3. Step 3: Cross multiply
    1,008.76x = 1,392.08 × 676.66
  4. Step 4: Simplify right side
    1,008.76x = 941,964.85
  5. Step 5: Solve for x
    x = 941,964.85/1,008.76
  6. Step 6: Final answer
    x = 933.78

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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.