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Finding the Fourth Proportional to 902.66, 1,353.88 and 382.87

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Solution

The fourth proportional to 902.66, 1,353.88 and 382.87 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.66 : 1,353.88 = 382.87 : x
  2. Step 2: Convert to fraction form
    902.66/1,353.88 = 382.87/x
  3. Step 3: Cross multiply
    902.66x = 1,353.88 × 382.87
  4. Step 4: Simplify right side
    902.66x = 518,362.21
  5. Step 5: Solve for x
    x = 518,362.21/902.66
  6. Step 6: Final answer
    x = 574.26

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Why These Related Problems?

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