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Finding the Fourth Proportional to 987.94, 1,363.26 and 739

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Solution

The fourth proportional to 987.94, 1,363.26 and 739 is: 1,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.94 : 1,363.26 = 739 : x
  2. Step 2: Convert to fraction form
    987.94/1,363.26 = 739/x
  3. Step 3: Cross multiply
    987.94x = 1,363.26 × 739
  4. Step 4: Simplify right side
    987.94x = 1,007,449.14
  5. Step 5: Solve for x
    x = 1,007,449.14/987.94
  6. Step 6: Final answer
    x = 1,019.75

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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.