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Finding the Fourth Proportional to 547.66, 820.67 and 507.16

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Solution

The fourth proportional to 547.66, 820.67 and 507.16 is: 759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 820.67 = 507.16 : x
  2. Step 2: Convert to fraction form
    547.66/820.67 = 507.16/x
  3. Step 3: Cross multiply
    547.66x = 820.67 × 507.16
  4. Step 4: Simplify right side
    547.66x = 416,206.89
  5. Step 5: Solve for x
    x = 416,206.89/547.66
  6. Step 6: Final answer
    x = 759.98

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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.