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Finding the Fourth Proportional to 723.92, 1,086.08 and 285.28

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Solution

The fourth proportional to 723.92, 1,086.08 and 285.28 is: 428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 1,086.08 = 285.28 : x
  2. Step 2: Convert to fraction form
    723.92/1,086.08 = 285.28/x
  3. Step 3: Cross multiply
    723.92x = 1,086.08 × 285.28
  4. Step 4: Simplify right side
    723.92x = 309,836.90
  5. Step 5: Solve for x
    x = 309,836.90/723.92
  6. Step 6: Final answer
    x = 428.00

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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.