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Finding the Fourth Proportional to 991.24, 1,369.03 and 675.96

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Solution

The fourth proportional to 991.24, 1,369.03 and 675.96 is: 933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.24 : 1,369.03 = 675.96 : x
  2. Step 2: Convert to fraction form
    991.24/1,369.03 = 675.96/x
  3. Step 3: Cross multiply
    991.24x = 1,369.03 × 675.96
  4. Step 4: Simplify right side
    991.24x = 925,409.52
  5. Step 5: Solve for x
    x = 925,409.52/991.24
  6. Step 6: Final answer
    x = 933.59

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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.