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Finding the Fourth Proportional to 653.78, 902.86 and 617.42

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Solution

The fourth proportional to 653.78, 902.86 and 617.42 is: 852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.86 = 617.42 : x
  2. Step 2: Convert to fraction form
    653.78/902.86 = 617.42/x
  3. Step 3: Cross multiply
    653.78x = 902.86 × 617.42
  4. Step 4: Simplify right side
    653.78x = 557,443.82
  5. Step 5: Solve for x
    x = 557,443.82/653.78
  6. Step 6: Final answer
    x = 852.65

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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.