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Finding the Fourth Proportional to 1,468.77, 2,199.58 and 809.64

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Solution

The fourth proportional to 1,468.77, 2,199.58 and 809.64 is: 1,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.77 : 2,199.58 = 809.64 : x
  2. Step 2: Convert to fraction form
    1,468.77/2,199.58 = 809.64/x
  3. Step 3: Cross multiply
    1,468.77x = 2,199.58 × 809.64
  4. Step 4: Simplify right side
    1,468.77x = 1,780,867.95
  5. Step 5: Solve for x
    x = 1,780,867.95/1,468.77
  6. Step 6: Final answer
    x = 1,212.49

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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.