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Finding the Fourth Proportional to 1,109.36, 1,663.80 and 329.17

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Solution

The fourth proportional to 1,109.36, 1,663.80 and 329.17 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.36 : 1,663.80 = 329.17 : x
  2. Step 2: Convert to fraction form
    1,109.36/1,663.80 = 329.17/x
  3. Step 3: Cross multiply
    1,109.36x = 1,663.80 × 329.17
  4. Step 4: Simplify right side
    1,109.36x = 547,671.40
  5. Step 5: Solve for x
    x = 547,671.40/1,109.36
  6. Step 6: Final answer
    x = 493.68

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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.