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Finding the Fourth Proportional to 902.93, 1,355.00 and 441.02

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Solution

The fourth proportional to 902.93, 1,355.00 and 441.02 is: 661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.93 : 1,355.00 = 441.02 : x
  2. Step 2: Convert to fraction form
    902.93/1,355.00 = 441.02/x
  3. Step 3: Cross multiply
    902.93x = 1,355.00 × 441.02
  4. Step 4: Simplify right side
    902.93x = 597,573.12
  5. Step 5: Solve for x
    x = 597,573.12/902.93
  6. Step 6: Final answer
    x = 661.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.