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Finding the Fourth Proportional to 1,109.35, 1,663.98 and 378.51

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Solution

The fourth proportional to 1,109.35, 1,663.98 and 378.51 is: 567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.35 : 1,663.98 = 378.51 : x
  2. Step 2: Convert to fraction form
    1,109.35/1,663.98 = 378.51/x
  3. Step 3: Cross multiply
    1,109.35x = 1,663.98 × 378.51
  4. Step 4: Simplify right side
    1,109.35x = 629,833.07
  5. Step 5: Solve for x
    x = 629,833.07/1,109.35
  6. Step 6: Final answer
    x = 567.75

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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.