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Finding the Fourth Proportional to 926.62, 1,396.16 and 827.16

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Solution

The fourth proportional to 926.62, 1,396.16 and 827.16 is: 1,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.62 : 1,396.16 = 827.16 : x
  2. Step 2: Convert to fraction form
    926.62/1,396.16 = 827.16/x
  3. Step 3: Cross multiply
    926.62x = 1,396.16 × 827.16
  4. Step 4: Simplify right side
    926.62x = 1,154,847.71
  5. Step 5: Solve for x
    x = 1,154,847.71/926.62
  6. Step 6: Final answer
    x = 1,246.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.