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Finding the Fourth Proportional to 968.14, 1,452.42 and 284.14

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Solution

The fourth proportional to 968.14, 1,452.42 and 284.14 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.14 : 1,452.42 = 284.14 : x
  2. Step 2: Convert to fraction form
    968.14/1,452.42 = 284.14/x
  3. Step 3: Cross multiply
    968.14x = 1,452.42 × 284.14
  4. Step 4: Simplify right side
    968.14x = 412,690.62
  5. Step 5: Solve for x
    x = 412,690.62/968.14
  6. Step 6: Final answer
    x = 426.27

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Double scale
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1.5x scale

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.