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Finding the Fourth Proportional to 992.99, 1,369.52 and 677.92

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Solution

The fourth proportional to 992.99, 1,369.52 and 677.92 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.99 : 1,369.52 = 677.92 : x
  2. Step 2: Convert to fraction form
    992.99/1,369.52 = 677.92/x
  3. Step 3: Cross multiply
    992.99x = 1,369.52 × 677.92
  4. Step 4: Simplify right side
    992.99x = 928,427.11
  5. Step 5: Solve for x
    x = 928,427.11/992.99
  6. Step 6: Final answer
    x = 934.98

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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.