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Finding the Fourth Proportional to 1,221.76, 1,832.24 and 491.16

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Solution

The fourth proportional to 1,221.76, 1,832.24 and 491.16 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.76 : 1,832.24 = 491.16 : x
  2. Step 2: Convert to fraction form
    1,221.76/1,832.24 = 491.16/x
  3. Step 3: Cross multiply
    1,221.76x = 1,832.24 × 491.16
  4. Step 4: Simplify right side
    1,221.76x = 899,923.00
  5. Step 5: Solve for x
    x = 899,923.00/1,221.76
  6. Step 6: Final answer
    x = 736.58

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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.