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Finding the Fourth Proportional to 991.82, 1,368.70 and 549.71

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Solution

The fourth proportional to 991.82, 1,368.70 and 549.71 is: 758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.82 : 1,368.70 = 549.71 : x
  2. Step 2: Convert to fraction form
    991.82/1,368.70 = 549.71/x
  3. Step 3: Cross multiply
    991.82x = 1,368.70 × 549.71
  4. Step 4: Simplify right side
    991.82x = 752,388.84
  5. Step 5: Solve for x
    x = 752,388.84/991.82
  6. Step 6: Final answer
    x = 758.59

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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.