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Finding the Fourth Proportional to 991.23, 1,365.11 and 823.93

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Solution

The fourth proportional to 991.23, 1,365.11 and 823.93 is: 1,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.23 : 1,365.11 = 823.93 : x
  2. Step 2: Convert to fraction form
    991.23/1,365.11 = 823.93/x
  3. Step 3: Cross multiply
    991.23x = 1,365.11 × 823.93
  4. Step 4: Simplify right side
    991.23x = 1,124,757.83
  5. Step 5: Solve for x
    x = 1,124,757.83/991.23
  6. Step 6: Final answer
    x = 1,134.70

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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.