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Finding the Fourth Proportional to 1,093.71, 1,508.12 and 715.78

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Solution

The fourth proportional to 1,093.71, 1,508.12 and 715.78 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.71 : 1,508.12 = 715.78 : x
  2. Step 2: Convert to fraction form
    1,093.71/1,508.12 = 715.78/x
  3. Step 3: Cross multiply
    1,093.71x = 1,508.12 × 715.78
  4. Step 4: Simplify right side
    1,093.71x = 1,079,480.15
  5. Step 5: Solve for x
    x = 1,079,480.15/1,093.71
  6. Step 6: Final answer
    x = 986.99

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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.