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Finding the Fourth Proportional to 986.13, 1,360.82 and 543.95

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Solution

The fourth proportional to 986.13, 1,360.82 and 543.95 is: 750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,360.82 = 543.95 : x
  2. Step 2: Convert to fraction form
    986.13/1,360.82 = 543.95/x
  3. Step 3: Cross multiply
    986.13x = 1,360.82 × 543.95
  4. Step 4: Simplify right side
    986.13x = 740,208.52
  5. Step 5: Solve for x
    x = 740,208.52/986.13
  6. Step 6: Final answer
    x = 750.62

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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.