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Finding the Fourth Proportional to 901.78, 1,245.04 and 653.92

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Solution

The fourth proportional to 901.78, 1,245.04 and 653.92 is: 902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.78 : 1,245.04 = 653.92 : x
  2. Step 2: Convert to fraction form
    901.78/1,245.04 = 653.92/x
  3. Step 3: Cross multiply
    901.78x = 1,245.04 × 653.92
  4. Step 4: Simplify right side
    901.78x = 814,156.56
  5. Step 5: Solve for x
    x = 814,156.56/901.78
  6. Step 6: Final answer
    x = 902.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.