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Finding the Fourth Proportional to 1,108.09, 1,661.82 and 377.50

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Solution

The fourth proportional to 1,108.09, 1,661.82 and 377.50 is: 566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.09 : 1,661.82 = 377.50 : x
  2. Step 2: Convert to fraction form
    1,108.09/1,661.82 = 377.50/x
  3. Step 3: Cross multiply
    1,108.09x = 1,661.82 × 377.50
  4. Step 4: Simplify right side
    1,108.09x = 627,337.05
  5. Step 5: Solve for x
    x = 627,337.05/1,108.09
  6. Step 6: Final answer
    x = 566.14

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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.