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Finding the Fourth Proportional to 809.45, 1,214.63 and 463.08

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Solution

The fourth proportional to 809.45, 1,214.63 and 463.08 is: 694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.45 : 1,214.63 = 463.08 : x
  2. Step 2: Convert to fraction form
    809.45/1,214.63 = 463.08/x
  3. Step 3: Cross multiply
    809.45x = 1,214.63 × 463.08
  4. Step 4: Simplify right side
    809.45x = 562,468.55
  5. Step 5: Solve for x
    x = 562,468.55/809.45
  6. Step 6: Final answer
    x = 694.88

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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.