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Finding the Fourth Proportional to 547.92, 820.80 and 503.64

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Solution

The fourth proportional to 547.92, 820.80 and 503.64 is: 754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 820.80 = 503.64 : x
  2. Step 2: Convert to fraction form
    547.92/820.80 = 503.64/x
  3. Step 3: Cross multiply
    547.92x = 820.80 × 503.64
  4. Step 4: Simplify right side
    547.92x = 413,387.71
  5. Step 5: Solve for x
    x = 413,387.71/547.92
  6. Step 6: Final answer
    x = 754.47

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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.