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Finding the Fourth Proportional to 1,035.07, 1,431.09 and 989.17

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Solution

The fourth proportional to 1,035.07, 1,431.09 and 989.17 is: 1,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.07 : 1,431.09 = 989.17 : x
  2. Step 2: Convert to fraction form
    1,035.07/1,431.09 = 989.17/x
  3. Step 3: Cross multiply
    1,035.07x = 1,431.09 × 989.17
  4. Step 4: Simplify right side
    1,035.07x = 1,415,591.30
  5. Step 5: Solve for x
    x = 1,415,591.30/1,035.07
  6. Step 6: Final answer
    x = 1,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.