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Finding the Fourth Proportional to 1,109.13, 1,663.41 and 328.95

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Solution

The fourth proportional to 1,109.13, 1,663.41 and 328.95 is: 493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.13 : 1,663.41 = 328.95 : x
  2. Step 2: Convert to fraction form
    1,109.13/1,663.41 = 328.95/x
  3. Step 3: Cross multiply
    1,109.13x = 1,663.41 × 328.95
  4. Step 4: Simplify right side
    1,109.13x = 547,179.54
  5. Step 5: Solve for x
    x = 547,179.54/1,109.13
  6. Step 6: Final answer
    x = 493.34

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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.