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Finding the Fourth Proportional to 988.92, 1,363.77 and 739.98

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Solution

The fourth proportional to 988.92, 1,363.77 and 739.98 is: 1,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.92 : 1,363.77 = 739.98 : x
  2. Step 2: Convert to fraction form
    988.92/1,363.77 = 739.98/x
  3. Step 3: Cross multiply
    988.92x = 1,363.77 × 739.98
  4. Step 4: Simplify right side
    988.92x = 1,009,162.52
  5. Step 5: Solve for x
    x = 1,009,162.52/988.92
  6. Step 6: Final answer
    x = 1,020.47

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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.