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Finding the Fourth Proportional to 1,700.96, 2,551.44 and 546.72

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Solution

The fourth proportional to 1,700.96, 2,551.44 and 546.72 is: 820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.96 : 2,551.44 = 546.72 : x
  2. Step 2: Convert to fraction form
    1,700.96/2,551.44 = 546.72/x
  3. Step 3: Cross multiply
    1,700.96x = 2,551.44 × 546.72
  4. Step 4: Simplify right side
    1,700.96x = 1,394,923.28
  5. Step 5: Solve for x
    x = 1,394,923.28/1,700.96
  6. Step 6: Final answer
    x = 820.08

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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.