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Finding the Fourth Proportional to 653.36, 984.14 and 552.92

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Solution

The fourth proportional to 653.36, 984.14 and 552.92 is: 832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 984.14 = 552.92 : x
  2. Step 2: Convert to fraction form
    653.36/984.14 = 552.92/x
  3. Step 3: Cross multiply
    653.36x = 984.14 × 552.92
  4. Step 4: Simplify right side
    653.36x = 544,150.69
  5. Step 5: Solve for x
    x = 544,150.69/653.36
  6. Step 6: Final answer
    x = 832.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.