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Finding the Fourth Proportional to 1,111.99, 1,666.75 and 380.56

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Solution

The fourth proportional to 1,111.99, 1,666.75 and 380.56 is: 570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.99 : 1,666.75 = 380.56 : x
  2. Step 2: Convert to fraction form
    1,111.99/1,666.75 = 380.56/x
  3. Step 3: Cross multiply
    1,111.99x = 1,666.75 × 380.56
  4. Step 4: Simplify right side
    1,111.99x = 634,298.38
  5. Step 5: Solve for x
    x = 634,298.38/1,111.99
  6. Step 6: Final answer
    x = 570.42

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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.