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Finding the Fourth Proportional to 645.52, 888.42 and 616.36

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Solution

The fourth proportional to 645.52, 888.42 and 616.36 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 888.42 = 616.36 : x
  2. Step 2: Convert to fraction form
    645.52/888.42 = 616.36/x
  3. Step 3: Cross multiply
    645.52x = 888.42 × 616.36
  4. Step 4: Simplify right side
    645.52x = 547,586.55
  5. Step 5: Solve for x
    x = 547,586.55/645.52
  6. Step 6: Final answer
    x = 848.29

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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.