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Finding the Fourth Proportional to 1,204.72, 1,663.07 and 850.93

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Solution

The fourth proportional to 1,204.72, 1,663.07 and 850.93 is: 1,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.72 : 1,663.07 = 850.93 : x
  2. Step 2: Convert to fraction form
    1,204.72/1,663.07 = 850.93/x
  3. Step 3: Cross multiply
    1,204.72x = 1,663.07 × 850.93
  4. Step 4: Simplify right side
    1,204.72x = 1,415,156.16
  5. Step 5: Solve for x
    x = 1,415,156.16/1,204.72
  6. Step 6: Final answer
    x = 1,174.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.