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Finding the Fourth Proportional to 991.49, 1,368.36 and 549.50

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Solution

The fourth proportional to 991.49, 1,368.36 and 549.50 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.49 : 1,368.36 = 549.50 : x
  2. Step 2: Convert to fraction form
    991.49/1,368.36 = 549.50/x
  3. Step 3: Cross multiply
    991.49x = 1,368.36 × 549.50
  4. Step 4: Simplify right side
    991.49x = 751,906.98
  5. Step 5: Solve for x
    x = 751,906.98/991.49
  6. Step 6: Final answer
    x = 758.36

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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.