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Finding the Fourth Proportional to 992.31, 1,488.26 and 375.80

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Solution

The fourth proportional to 992.31, 1,488.26 and 375.80 is: 563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.31 : 1,488.26 = 375.80 : x
  2. Step 2: Convert to fraction form
    992.31/1,488.26 = 375.80/x
  3. Step 3: Cross multiply
    992.31x = 1,488.26 × 375.80
  4. Step 4: Simplify right side
    992.31x = 559,292.77
  5. Step 5: Solve for x
    x = 559,292.77/992.31
  6. Step 6: Final answer
    x = 563.63

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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.