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Finding the Fourth Proportional to 1,068.29, 1,602.44 and 337.88

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Solution

The fourth proportional to 1,068.29, 1,602.44 and 337.88 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.29 : 1,602.44 = 337.88 : x
  2. Step 2: Convert to fraction form
    1,068.29/1,602.44 = 337.88/x
  3. Step 3: Cross multiply
    1,068.29x = 1,602.44 × 337.88
  4. Step 4: Simplify right side
    1,068.29x = 541,422.73
  5. Step 5: Solve for x
    x = 541,422.73/1,068.29
  6. Step 6: Final answer
    x = 506.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.