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Finding the Fourth Proportional to 902.65, 1,354.23 and 539.74

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Solution

The fourth proportional to 902.65, 1,354.23 and 539.74 is: 809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.65 : 1,354.23 = 539.74 : x
  2. Step 2: Convert to fraction form
    902.65/1,354.23 = 539.74/x
  3. Step 3: Cross multiply
    902.65x = 1,354.23 × 539.74
  4. Step 4: Simplify right side
    902.65x = 730,939.31
  5. Step 5: Solve for x
    x = 730,939.31/902.65
  6. Step 6: Final answer
    x = 809.77

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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.