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Finding the Fourth Proportional to 1,118.46, 1,677.87 and 378.14

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Solution

The fourth proportional to 1,118.46, 1,677.87 and 378.14 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.46 : 1,677.87 = 378.14 : x
  2. Step 2: Convert to fraction form
    1,118.46/1,677.87 = 378.14/x
  3. Step 3: Cross multiply
    1,118.46x = 1,677.87 × 378.14
  4. Step 4: Simplify right side
    1,118.46x = 634,473.96
  5. Step 5: Solve for x
    x = 634,473.96/1,118.46
  6. Step 6: Final answer
    x = 567.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.