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Finding the Fourth Proportional to 992.09, 1,488.20 and 376.33

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Solution

The fourth proportional to 992.09, 1,488.20 and 376.33 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.09 : 1,488.20 = 376.33 : x
  2. Step 2: Convert to fraction form
    992.09/1,488.20 = 376.33/x
  3. Step 3: Cross multiply
    992.09x = 1,488.20 × 376.33
  4. Step 4: Simplify right side
    992.09x = 560,054.31
  5. Step 5: Solve for x
    x = 560,054.31/992.09
  6. Step 6: Final answer
    x = 564.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.