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Finding the Fourth Proportional to 1,716.88, 2,575.36 and 546.88

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Solution

The fourth proportional to 1,716.88, 2,575.36 and 546.88 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.88 : 2,575.36 = 546.88 : x
  2. Step 2: Convert to fraction form
    1,716.88/2,575.36 = 546.88/x
  3. Step 3: Cross multiply
    1,716.88x = 2,575.36 × 546.88
  4. Step 4: Simplify right side
    1,716.88x = 1,408,412.88
  5. Step 5: Solve for x
    x = 1,408,412.88/1,716.88
  6. Step 6: Final answer
    x = 820.33

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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.