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Finding the Fourth Proportional to 906.62, 1,358.59 and 443.87

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Solution

The fourth proportional to 906.62, 1,358.59 and 443.87 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.62 : 1,358.59 = 443.87 : x
  2. Step 2: Convert to fraction form
    906.62/1,358.59 = 443.87/x
  3. Step 3: Cross multiply
    906.62x = 1,358.59 × 443.87
  4. Step 4: Simplify right side
    906.62x = 603,037.34
  5. Step 5: Solve for x
    x = 603,037.34/906.62
  6. Step 6: Final answer
    x = 665.15

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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.