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Finding the Fourth Proportional to 986.27, 1,360.98 and 538.13

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Solution

The fourth proportional to 986.27, 1,360.98 and 538.13 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.27 : 1,360.98 = 538.13 : x
  2. Step 2: Convert to fraction form
    986.27/1,360.98 = 538.13/x
  3. Step 3: Cross multiply
    986.27x = 1,360.98 × 538.13
  4. Step 4: Simplify right side
    986.27x = 732,377.36
  5. Step 5: Solve for x
    x = 732,377.36/986.27
  6. Step 6: Final answer
    x = 742.58

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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.