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Finding the Fourth Proportional to 674.88, 1,011.36 and 546.72

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Solution

The fourth proportional to 674.88, 1,011.36 and 546.72 is: 819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 1,011.36 = 546.72 : x
  2. Step 2: Convert to fraction form
    674.88/1,011.36 = 546.72/x
  3. Step 3: Cross multiply
    674.88x = 1,011.36 × 546.72
  4. Step 4: Simplify right side
    674.88x = 552,930.74
  5. Step 5: Solve for x
    x = 552,930.74/674.88
  6. Step 6: Final answer
    x = 819.30

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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.