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Finding the Fourth Proportional to 1,716.74, 2,575.08 and 418.20

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Solution

The fourth proportional to 1,716.74, 2,575.08 and 418.20 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.74 : 2,575.08 = 418.20 : x
  2. Step 2: Convert to fraction form
    1,716.74/2,575.08 = 418.20/x
  3. Step 3: Cross multiply
    1,716.74x = 2,575.08 × 418.20
  4. Step 4: Simplify right side
    1,716.74x = 1,076,898.46
  5. Step 5: Solve for x
    x = 1,076,898.46/1,716.74
  6. Step 6: Final answer
    x = 627.29

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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.