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Finding the Fourth Proportional to 1,109.63, 1,663.86 and 493.22

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Solution

The fourth proportional to 1,109.63, 1,663.86 and 493.22 is: 739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.63 : 1,663.86 = 493.22 : x
  2. Step 2: Convert to fraction form
    1,109.63/1,663.86 = 493.22/x
  3. Step 3: Cross multiply
    1,109.63x = 1,663.86 × 493.22
  4. Step 4: Simplify right side
    1,109.63x = 820,649.03
  5. Step 5: Solve for x
    x = 820,649.03/1,109.63
  6. Step 6: Final answer
    x = 739.57

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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.