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Finding the Fourth Proportional to 744.82, 1,117.40 and 224.81

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Solution

The fourth proportional to 744.82, 1,117.40 and 224.81 is: 337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.82 : 1,117.40 = 224.81 : x
  2. Step 2: Convert to fraction form
    744.82/1,117.40 = 224.81/x
  3. Step 3: Cross multiply
    744.82x = 1,117.40 × 224.81
  4. Step 4: Simplify right side
    744.82x = 251,202.69
  5. Step 5: Solve for x
    x = 251,202.69/744.82
  6. Step 6: Final answer
    x = 337.27

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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.