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Finding the Fourth Proportional to 1,111.46, 1,666.17 and 380.84

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Solution

The fourth proportional to 1,111.46, 1,666.17 and 380.84 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.46 : 1,666.17 = 380.84 : x
  2. Step 2: Convert to fraction form
    1,111.46/1,666.17 = 380.84/x
  3. Step 3: Cross multiply
    1,111.46x = 1,666.17 × 380.84
  4. Step 4: Simplify right side
    1,111.46x = 634,535.85
  5. Step 5: Solve for x
    x = 634,535.85/1,111.46
  6. Step 6: Final answer
    x = 570.91

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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.