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Finding the Fourth Proportional to 992.29, 1,369.32 and 550.16

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Solution

The fourth proportional to 992.29, 1,369.32 and 550.16 is: 759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.29 : 1,369.32 = 550.16 : x
  2. Step 2: Convert to fraction form
    992.29/1,369.32 = 550.16/x
  3. Step 3: Cross multiply
    992.29x = 1,369.32 × 550.16
  4. Step 4: Simplify right side
    992.29x = 753,345.09
  5. Step 5: Solve for x
    x = 753,345.09/992.29
  6. Step 6: Final answer
    x = 759.20

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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.