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Finding the Fourth Proportional to 991.39, 1,368.14 and 543.30

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Solution

The fourth proportional to 991.39, 1,368.14 and 543.30 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.39 : 1,368.14 = 543.30 : x
  2. Step 2: Convert to fraction form
    991.39/1,368.14 = 543.30/x
  3. Step 3: Cross multiply
    991.39x = 1,368.14 × 543.30
  4. Step 4: Simplify right side
    991.39x = 743,309.10
  5. Step 5: Solve for x
    x = 743,309.10/991.39
  6. Step 6: Final answer
    x = 749.77

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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.