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Finding the Fourth Proportional to 1,111.79, 1,666.56 and 380.87

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Solution

The fourth proportional to 1,111.79, 1,666.56 and 380.87 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.79 : 1,666.56 = 380.87 : x
  2. Step 2: Convert to fraction form
    1,111.79/1,666.56 = 380.87/x
  3. Step 3: Cross multiply
    1,111.79x = 1,666.56 × 380.87
  4. Step 4: Simplify right side
    1,111.79x = 634,734.37
  5. Step 5: Solve for x
    x = 634,734.37/1,111.79
  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.