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Finding the Fourth Proportional to 1,712.27, 2,568.21 and 479.78

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Solution

The fourth proportional to 1,712.27, 2,568.21 and 479.78 is: 719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.27 : 2,568.21 = 479.78 : x
  2. Step 2: Convert to fraction form
    1,712.27/2,568.21 = 479.78/x
  3. Step 3: Cross multiply
    1,712.27x = 2,568.21 × 479.78
  4. Step 4: Simplify right side
    1,712.27x = 1,232,175.79
  5. Step 5: Solve for x
    x = 1,232,175.79/1,712.27
  6. Step 6: Final answer
    x = 719.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.