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Finding the Fourth Proportional to 991.73, 1,490.96 and 810.44

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Solution

The fourth proportional to 991.73, 1,490.96 and 810.44 is: 1,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.73 : 1,490.96 = 810.44 : x
  2. Step 2: Convert to fraction form
    991.73/1,490.96 = 810.44/x
  3. Step 3: Cross multiply
    991.73x = 1,490.96 × 810.44
  4. Step 4: Simplify right side
    991.73x = 1,208,328.19
  5. Step 5: Solve for x
    x = 1,208,328.19/991.73
  6. Step 6: Final answer
    x = 1,218.41

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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.