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Finding the Fourth Proportional to 1,008.71, 1,393.82 and 967.70

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Solution

The fourth proportional to 1,008.71, 1,393.82 and 967.70 is: 1,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.71 : 1,393.82 = 967.70 : x
  2. Step 2: Convert to fraction form
    1,008.71/1,393.82 = 967.70/x
  3. Step 3: Cross multiply
    1,008.71x = 1,393.82 × 967.70
  4. Step 4: Simplify right side
    1,008.71x = 1,348,799.61
  5. Step 5: Solve for x
    x = 1,348,799.61/1,008.71
  6. Step 6: Final answer
    x = 1,337.15

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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.