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Finding the Fourth Proportional to 992.02, 1,369.23 and 677.95

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Solution

The fourth proportional to 992.02, 1,369.23 and 677.95 is: 935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.02 : 1,369.23 = 677.95 : x
  2. Step 2: Convert to fraction form
    992.02/1,369.23 = 677.95/x
  3. Step 3: Cross multiply
    992.02x = 1,369.23 × 677.95
  4. Step 4: Simplify right side
    992.02x = 928,269.48
  5. Step 5: Solve for x
    x = 928,269.48/992.02
  6. Step 6: Final answer
    x = 935.74

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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.