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Finding the Fourth Proportional to 1,663.22, 2,494.83 and 508.82

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Solution

The fourth proportional to 1,663.22, 2,494.83 and 508.82 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.22 : 2,494.83 = 508.82 : x
  2. Step 2: Convert to fraction form
    1,663.22/2,494.83 = 508.82/x
  3. Step 3: Cross multiply
    1,663.22x = 2,494.83 × 508.82
  4. Step 4: Simplify right side
    1,663.22x = 1,269,419.40
  5. Step 5: Solve for x
    x = 1,269,419.40/1,663.22
  6. Step 6: Final answer
    x = 763.23

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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.