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Finding the Fourth Proportional to 992.24, 1,488.96 and 376.03

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Solution

The fourth proportional to 992.24, 1,488.96 and 376.03 is: 564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.24 : 1,488.96 = 376.03 : x
  2. Step 2: Convert to fraction form
    992.24/1,488.96 = 376.03/x
  3. Step 3: Cross multiply
    992.24x = 1,488.96 × 376.03
  4. Step 4: Simplify right side
    992.24x = 559,893.63
  5. Step 5: Solve for x
    x = 559,893.63/992.24
  6. Step 6: Final answer
    x = 564.27

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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.