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Finding the Fourth Proportional to 1,099.71, 1,517.30 and 706.96

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Solution

The fourth proportional to 1,099.71, 1,517.30 and 706.96 is: 975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.71 : 1,517.30 = 706.96 : x
  2. Step 2: Convert to fraction form
    1,099.71/1,517.30 = 706.96/x
  3. Step 3: Cross multiply
    1,099.71x = 1,517.30 × 706.96
  4. Step 4: Simplify right side
    1,099.71x = 1,072,671.42
  5. Step 5: Solve for x
    x = 1,072,671.42/1,099.71
  6. Step 6: Final answer
    x = 975.41

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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.