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Finding the Fourth Proportional to 991.42, 1,368.10 and 543.27

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Solution

The fourth proportional to 991.42, 1,368.10 and 543.27 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.42 : 1,368.10 = 543.27 : x
  2. Step 2: Convert to fraction form
    991.42/1,368.10 = 543.27/x
  3. Step 3: Cross multiply
    991.42x = 1,368.10 × 543.27
  4. Step 4: Simplify right side
    991.42x = 743,247.69
  5. Step 5: Solve for x
    x = 743,247.69/991.42
  6. Step 6: Final answer
    x = 749.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.