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Finding the Fourth Proportional to 1,664.06, 2,496.51 and 624.07

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Solution

The fourth proportional to 1,664.06, 2,496.51 and 624.07 is: 936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.06 : 2,496.51 = 624.07 : x
  2. Step 2: Convert to fraction form
    1,664.06/2,496.51 = 624.07/x
  3. Step 3: Cross multiply
    1,664.06x = 2,496.51 × 624.07
  4. Step 4: Simplify right side
    1,664.06x = 1,557,984.51
  5. Step 5: Solve for x
    x = 1,557,984.51/1,664.06
  6. Step 6: Final answer
    x = 936.26

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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.