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Finding the Fourth Proportional to 1,111.36, 1,664.34 and 648.14

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Solution

The fourth proportional to 1,111.36, 1,664.34 and 648.14 is: 970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.36 : 1,664.34 = 648.14 : x
  2. Step 2: Convert to fraction form
    1,111.36/1,664.34 = 648.14/x
  3. Step 3: Cross multiply
    1,111.36x = 1,664.34 × 648.14
  4. Step 4: Simplify right side
    1,111.36x = 1,078,725.33
  5. Step 5: Solve for x
    x = 1,078,725.33/1,111.36
  6. Step 6: Final answer
    x = 970.64

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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.