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Finding the Fourth Proportional to 1,118.30, 1,677.36 and 377.90

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Solution

The fourth proportional to 1,118.30, 1,677.36 and 377.90 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.30 : 1,677.36 = 377.90 : x
  2. Step 2: Convert to fraction form
    1,118.30/1,677.36 = 377.90/x
  3. Step 3: Cross multiply
    1,118.30x = 1,677.36 × 377.90
  4. Step 4: Simplify right side
    1,118.30x = 633,865.96
  5. Step 5: Solve for x
    x = 633,865.96/1,118.30
  6. Step 6: Final answer
    x = 566.81

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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.