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Finding the Fourth Proportional to 1,096, 1,512.45 and 598.64

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Solution

The fourth proportional to 1,096, 1,512.45 and 598.64 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096 : 1,512.45 = 598.64 : x
  2. Step 2: Convert to fraction form
    1,096/1,512.45 = 598.64/x
  3. Step 3: Cross multiply
    1,096x = 1,512.45 × 598.64
  4. Step 4: Simplify right side
    1,096x = 905,413.07
  5. Step 5: Solve for x
    x = 905,413.07/1,096
  6. Step 6: Final answer
    x = 826.11

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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.