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Finding the Fourth Proportional to 986.06, 1,360.82 and 543.98

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Solution

The fourth proportional to 986.06, 1,360.82 and 543.98 is: 750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.06 : 1,360.82 = 543.98 : x
  2. Step 2: Convert to fraction form
    986.06/1,360.82 = 543.98/x
  3. Step 3: Cross multiply
    986.06x = 1,360.82 × 543.98
  4. Step 4: Simplify right side
    986.06x = 740,263.63
  5. Step 5: Solve for x
    x = 740,263.63/986.06
  6. Step 6: Final answer
    x = 750.73

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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.