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Finding the Fourth Proportional to 1,712.71, 2,568.52 and 479.80

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Solution

The fourth proportional to 1,712.71, 2,568.52 and 479.80 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.71 : 2,568.52 = 479.80 : x
  2. Step 2: Convert to fraction form
    1,712.71/2,568.52 = 479.80/x
  3. Step 3: Cross multiply
    1,712.71x = 2,568.52 × 479.80
  4. Step 4: Simplify right side
    1,712.71x = 1,232,375.90
  5. Step 5: Solve for x
    x = 1,232,375.90/1,712.71
  6. Step 6: Final answer
    x = 719.55

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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.