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Finding the Fourth Proportional to 896.52, 1,237.37 and 649

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Solution

The fourth proportional to 896.52, 1,237.37 and 649 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.52 : 1,237.37 = 649 : x
  2. Step 2: Convert to fraction form
    896.52/1,237.37 = 649/x
  3. Step 3: Cross multiply
    896.52x = 1,237.37 × 649
  4. Step 4: Simplify right side
    896.52x = 803,053.13
  5. Step 5: Solve for x
    x = 803,053.13/896.52
  6. Step 6: Final answer
    x = 895.74

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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.