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Finding the Fourth Proportional to 1,109.01, 1,663.17 and 493.27

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Solution

The fourth proportional to 1,109.01, 1,663.17 and 493.27 is: 739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.01 : 1,663.17 = 493.27 : x
  2. Step 2: Convert to fraction form
    1,109.01/1,663.17 = 493.27/x
  3. Step 3: Cross multiply
    1,109.01x = 1,663.17 × 493.27
  4. Step 4: Simplify right side
    1,109.01x = 820,385.86
  5. Step 5: Solve for x
    x = 820,385.86/1,109.01
  6. Step 6: Final answer
    x = 739.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.