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Finding the Fourth Proportional to 1,110.72, 1,666.24 and 380.12

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Solution

The fourth proportional to 1,110.72, 1,666.24 and 380.12 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.72 : 1,666.24 = 380.12 : x
  2. Step 2: Convert to fraction form
    1,110.72/1,666.24 = 380.12/x
  3. Step 3: Cross multiply
    1,110.72x = 1,666.24 × 380.12
  4. Step 4: Simplify right side
    1,110.72x = 633,371.15
  5. Step 5: Solve for x
    x = 633,371.15/1,110.72
  6. Step 6: Final answer
    x = 570.23

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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.