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Finding the Fourth Proportional to 724.16, 1,085.58 and 285.30

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Solution

The fourth proportional to 724.16, 1,085.58 and 285.30 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 1,085.58 = 285.30 : x
  2. Step 2: Convert to fraction form
    724.16/1,085.58 = 285.30/x
  3. Step 3: Cross multiply
    724.16x = 1,085.58 × 285.30
  4. Step 4: Simplify right side
    724.16x = 309,715.97
  5. Step 5: Solve for x
    x = 309,715.97/724.16
  6. Step 6: Final answer
    x = 427.69

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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.