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Finding the Fourth Proportional to 1,466.71, 2,200.16 and 479.59

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Solution

The fourth proportional to 1,466.71, 2,200.16 and 479.59 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.71 : 2,200.16 = 479.59 : x
  2. Step 2: Convert to fraction form
    1,466.71/2,200.16 = 479.59/x
  3. Step 3: Cross multiply
    1,466.71x = 2,200.16 × 479.59
  4. Step 4: Simplify right side
    1,466.71x = 1,055,170.43
  5. Step 5: Solve for x
    x = 1,055,170.43/1,466.71
  6. Step 6: Final answer
    x = 719.41

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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.