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Finding the Fourth Proportional to 992.01, 1,369.51 and 677.74

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Solution

The fourth proportional to 992.01, 1,369.51 and 677.74 is: 935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.01 : 1,369.51 = 677.74 : x
  2. Step 2: Convert to fraction form
    992.01/1,369.51 = 677.74/x
  3. Step 3: Cross multiply
    992.01x = 1,369.51 × 677.74
  4. Step 4: Simplify right side
    992.01x = 928,171.71
  5. Step 5: Solve for x
    x = 928,171.71/992.01
  6. Step 6: Final answer
    x = 935.65

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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.