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Finding the Fourth Proportional to 1,664.51, 2,496.52 and 624.37

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Solution

The fourth proportional to 1,664.51, 2,496.52 and 624.37 is: 936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.51 : 2,496.52 = 624.37 : x
  2. Step 2: Convert to fraction form
    1,664.51/2,496.52 = 624.37/x
  3. Step 3: Cross multiply
    1,664.51x = 2,496.52 × 624.37
  4. Step 4: Simplify right side
    1,664.51x = 1,558,752.19
  5. Step 5: Solve for x
    x = 1,558,752.19/1,664.51
  6. Step 6: Final answer
    x = 936.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.