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Finding the Fourth Proportional to 1,111.18, 1,666.96 and 380.58

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Solution

The fourth proportional to 1,111.18, 1,666.96 and 380.58 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.18 : 1,666.96 = 380.58 : x
  2. Step 2: Convert to fraction form
    1,111.18/1,666.96 = 380.58/x
  3. Step 3: Cross multiply
    1,111.18x = 1,666.96 × 380.58
  4. Step 4: Simplify right side
    1,111.18x = 634,411.64
  5. Step 5: Solve for x
    x = 634,411.64/1,111.18
  6. Step 6: Final answer
    x = 570.94

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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.