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Finding the Fourth Proportional to 724.10, 1,085.84 and 285.28

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Solution

The fourth proportional to 724.10, 1,085.84 and 285.28 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 1,085.84 = 285.28 : x
  2. Step 2: Convert to fraction form
    724.10/1,085.84 = 285.28/x
  3. Step 3: Cross multiply
    724.10x = 1,085.84 × 285.28
  4. Step 4: Simplify right side
    724.10x = 309,769.15
  5. Step 5: Solve for x
    x = 309,769.15/724.10
  6. Step 6: Final answer
    x = 427.80

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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.