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Finding the Fourth Proportional to 1,110.35, 1,665.56 and 379.92

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Solution

The fourth proportional to 1,110.35, 1,665.56 and 379.92 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.35 : 1,665.56 = 379.92 : x
  2. Step 2: Convert to fraction form
    1,110.35/1,665.56 = 379.92/x
  3. Step 3: Cross multiply
    1,110.35x = 1,665.56 × 379.92
  4. Step 4: Simplify right side
    1,110.35x = 632,777.66
  5. Step 5: Solve for x
    x = 632,777.66/1,110.35
  6. Step 6: Final answer
    x = 569.89

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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.