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Finding the Fourth Proportional to 1,663.25, 2,495.17 and 552.73

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Solution

The fourth proportional to 1,663.25, 2,495.17 and 552.73 is: 829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.25 : 2,495.17 = 552.73 : x
  2. Step 2: Convert to fraction form
    1,663.25/2,495.17 = 552.73/x
  3. Step 3: Cross multiply
    1,663.25x = 2,495.17 × 552.73
  4. Step 4: Simplify right side
    1,663.25x = 1,379,152.55
  5. Step 5: Solve for x
    x = 1,379,152.55/1,663.25
  6. Step 6: Final answer
    x = 829.19

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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.