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Finding the Fourth Proportional to 896.02, 1,237.08 and 648.16

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Solution

The fourth proportional to 896.02, 1,237.08 and 648.16 is: 894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.02 : 1,237.08 = 648.16 : x
  2. Step 2: Convert to fraction form
    896.02/1,237.08 = 648.16/x
  3. Step 3: Cross multiply
    896.02x = 1,237.08 × 648.16
  4. Step 4: Simplify right side
    896.02x = 801,825.77
  5. Step 5: Solve for x
    x = 801,825.77/896.02
  6. Step 6: Final answer
    x = 894.87

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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.