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Finding the Fourth Proportional to 896.16, 1,235.49 and 616.29

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Solution

The fourth proportional to 896.16, 1,235.49 and 616.29 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,235.49 = 616.29 : x
  2. Step 2: Convert to fraction form
    896.16/1,235.49 = 616.29/x
  3. Step 3: Cross multiply
    896.16x = 1,235.49 × 616.29
  4. Step 4: Simplify right side
    896.16x = 761,420.13
  5. Step 5: Solve for x
    x = 761,420.13/896.16
  6. Step 6: Final answer
    x = 849.65

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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.