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Finding the Fourth Proportional to 1,110.59, 1,665.88 and 380.22

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Solution

The fourth proportional to 1,110.59, 1,665.88 and 380.22 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.59 : 1,665.88 = 380.22 : x
  2. Step 2: Convert to fraction form
    1,110.59/1,665.88 = 380.22/x
  3. Step 3: Cross multiply
    1,110.59x = 1,665.88 × 380.22
  4. Step 4: Simplify right side
    1,110.59x = 633,398.92
  5. Step 5: Solve for x
    x = 633,398.92/1,110.59
  6. Step 6: Final answer
    x = 570.33

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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.