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Finding the Fourth Proportional to 896.52, 1,236.10 and 616.20

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Solution

The fourth proportional to 896.52, 1,236.10 and 616.20 is: 849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.52 : 1,236.10 = 616.20 : x
  2. Step 2: Convert to fraction form
    896.52/1,236.10 = 616.20/x
  3. Step 3: Cross multiply
    896.52x = 1,236.10 × 616.20
  4. Step 4: Simplify right side
    896.52x = 761,684.82
  5. Step 5: Solve for x
    x = 761,684.82/896.52
  6. Step 6: Final answer
    x = 849.60

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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.