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Finding the Fourth Proportional to 547.84, 820.68 and 507.88

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Solution

The fourth proportional to 547.84, 820.68 and 507.88 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 820.68 = 507.88 : x
  2. Step 2: Convert to fraction form
    547.84/820.68 = 507.88/x
  3. Step 3: Cross multiply
    547.84x = 820.68 × 507.88
  4. Step 4: Simplify right side
    547.84x = 416,806.96
  5. Step 5: Solve for x
    x = 416,806.96/547.84
  6. Step 6: Final answer
    x = 760.82

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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.