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Finding the Fourth Proportional to 1,110.13, 1,665.39 and 417.27

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Solution

The fourth proportional to 1,110.13, 1,665.39 and 417.27 is: 625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.13 : 1,665.39 = 417.27 : x
  2. Step 2: Convert to fraction form
    1,110.13/1,665.39 = 417.27/x
  3. Step 3: Cross multiply
    1,110.13x = 1,665.39 × 417.27
  4. Step 4: Simplify right side
    1,110.13x = 694,917.29
  5. Step 5: Solve for x
    x = 694,917.29/1,110.13
  6. Step 6: Final answer
    x = 625.98

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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.