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Finding the Fourth Proportional to 991.71, 1,486.97 and 375.09

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Solution

The fourth proportional to 991.71, 1,486.97 and 375.09 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.71 : 1,486.97 = 375.09 : x
  2. Step 2: Convert to fraction form
    991.71/1,486.97 = 375.09/x
  3. Step 3: Cross multiply
    991.71x = 1,486.97 × 375.09
  4. Step 4: Simplify right side
    991.71x = 557,752.52
  5. Step 5: Solve for x
    x = 557,752.52/991.71
  6. Step 6: Final answer
    x = 562.42

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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.