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Finding the Fourth Proportional to 1,110.54, 1,665.81 and 417.18

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Solution

The fourth proportional to 1,110.54, 1,665.81 and 417.18 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.54 : 1,665.81 = 417.18 : x
  2. Step 2: Convert to fraction form
    1,110.54/1,665.81 = 417.18/x
  3. Step 3: Cross multiply
    1,110.54x = 1,665.81 × 417.18
  4. Step 4: Simplify right side
    1,110.54x = 694,942.62
  5. Step 5: Solve for x
    x = 694,942.62/1,110.54
  6. Step 6: Final answer
    x = 625.77

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Why These Related Problems?

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