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Finding the Fourth Proportional to 1,043.14, 1,439.06 and 688.60

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Solution

The fourth proportional to 1,043.14, 1,439.06 and 688.60 is: 949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.14 : 1,439.06 = 688.60 : x
  2. Step 2: Convert to fraction form
    1,043.14/1,439.06 = 688.60/x
  3. Step 3: Cross multiply
    1,043.14x = 1,439.06 × 688.60
  4. Step 4: Simplify right side
    1,043.14x = 990,936.72
  5. Step 5: Solve for x
    x = 990,936.72/1,043.14
  6. Step 6: Final answer
    x = 949.96

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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.