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Finding the Fourth Proportional to 724.25, 1,085.74 and 285.19

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Solution

The fourth proportional to 724.25, 1,085.74 and 285.19 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.25 : 1,085.74 = 285.19 : x
  2. Step 2: Convert to fraction form
    724.25/1,085.74 = 285.19/x
  3. Step 3: Cross multiply
    724.25x = 1,085.74 × 285.19
  4. Step 4: Simplify right side
    724.25x = 309,638.76
  5. Step 5: Solve for x
    x = 309,638.76/724.25
  6. Step 6: Final answer
    x = 427.53

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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.