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Finding the Fourth Proportional to 1,108.95, 1,663.71 and 378.57

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Solution

The fourth proportional to 1,108.95, 1,663.71 and 378.57 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.95 : 1,663.71 = 378.57 : x
  2. Step 2: Convert to fraction form
    1,108.95/1,663.71 = 378.57/x
  3. Step 3: Cross multiply
    1,108.95x = 1,663.71 × 378.57
  4. Step 4: Simplify right side
    1,108.95x = 629,830.69
  5. Step 5: Solve for x
    x = 629,830.69/1,108.95
  6. Step 6: Final answer
    x = 567.95

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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.