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Finding the Fourth Proportional to 1,110.30, 1,665.24 and 416.89

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Solution

The fourth proportional to 1,110.30, 1,665.24 and 416.89 is: 625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.30 : 1,665.24 = 416.89 : x
  2. Step 2: Convert to fraction form
    1,110.30/1,665.24 = 416.89/x
  3. Step 3: Cross multiply
    1,110.30x = 1,665.24 × 416.89
  4. Step 4: Simplify right side
    1,110.30x = 694,221.90
  5. Step 5: Solve for x
    x = 694,221.90/1,110.30
  6. Step 6: Final answer
    x = 625.26

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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.