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Finding the Fourth Proportional to 547.52, 817.36 and 507.52

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Solution

The fourth proportional to 547.52, 817.36 and 507.52 is: 757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 817.36 = 507.52 : x
  2. Step 2: Convert to fraction form
    547.52/817.36 = 507.52/x
  3. Step 3: Cross multiply
    547.52x = 817.36 × 507.52
  4. Step 4: Simplify right side
    547.52x = 414,826.55
  5. Step 5: Solve for x
    x = 414,826.55/547.52
  6. Step 6: Final answer
    x = 757.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.