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Finding the Fourth Proportional to 1,110.75, 1,666.13 and 380.31

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Solution

The fourth proportional to 1,110.75, 1,666.13 and 380.31 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.75 : 1,666.13 = 380.31 : x
  2. Step 2: Convert to fraction form
    1,110.75/1,666.13 = 380.31/x
  3. Step 3: Cross multiply
    1,110.75x = 1,666.13 × 380.31
  4. Step 4: Simplify right side
    1,110.75x = 633,644.00
  5. Step 5: Solve for x
    x = 633,644.00/1,110.75
  6. Step 6: Final answer
    x = 570.47

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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.