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Finding the Fourth Proportional to 991.68, 1,369.02 and 698.10

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Solution

The fourth proportional to 991.68, 1,369.02 and 698.10 is: 963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.68 : 1,369.02 = 698.10 : x
  2. Step 2: Convert to fraction form
    991.68/1,369.02 = 698.10/x
  3. Step 3: Cross multiply
    991.68x = 1,369.02 × 698.10
  4. Step 4: Simplify right side
    991.68x = 955,712.86
  5. Step 5: Solve for x
    x = 955,712.86/991.68
  6. Step 6: Final answer
    x = 963.73

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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.