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Finding the Fourth Proportional to 1,663.94, 2,496.20 and 624.31

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Solution

The fourth proportional to 1,663.94, 2,496.20 and 624.31 is: 936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.94 : 2,496.20 = 624.31 : x
  2. Step 2: Convert to fraction form
    1,663.94/2,496.20 = 624.31/x
  3. Step 3: Cross multiply
    1,663.94x = 2,496.20 × 624.31
  4. Step 4: Simplify right side
    1,663.94x = 1,558,393.26
  5. Step 5: Solve for x
    x = 1,558,393.26/1,663.94
  6. Step 6: Final answer
    x = 936.57

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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.