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Finding the Fourth Proportional to 1,111.27, 1,666.35 and 380.59

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Solution

The fourth proportional to 1,111.27, 1,666.35 and 380.59 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.27 : 1,666.35 = 380.59 : x
  2. Step 2: Convert to fraction form
    1,111.27/1,666.35 = 380.59/x
  3. Step 3: Cross multiply
    1,111.27x = 1,666.35 × 380.59
  4. Step 4: Simplify right side
    1,111.27x = 634,196.15
  5. Step 5: Solve for x
    x = 634,196.15/1,111.27
  6. Step 6: Final answer
    x = 570.69

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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.