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Finding the Fourth Proportional to 992.51, 1,489.07 and 376.26

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Solution

The fourth proportional to 992.51, 1,489.07 and 376.26 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.51 : 1,489.07 = 376.26 : x
  2. Step 2: Convert to fraction form
    992.51/1,489.07 = 376.26/x
  3. Step 3: Cross multiply
    992.51x = 1,489.07 × 376.26
  4. Step 4: Simplify right side
    992.51x = 560,278.42
  5. Step 5: Solve for x
    x = 560,278.42/992.51
  6. Step 6: Final answer
    x = 564.51

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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.