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Finding the Fourth Proportional to 512.92, 765.05 and 503.20

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Solution

The fourth proportional to 512.92, 765.05 and 503.20 is: 750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 765.05 = 503.20 : x
  2. Step 2: Convert to fraction form
    512.92/765.05 = 503.20/x
  3. Step 3: Cross multiply
    512.92x = 765.05 × 503.20
  4. Step 4: Simplify right side
    512.92x = 384,973.16
  5. Step 5: Solve for x
    x = 384,973.16/512.92
  6. Step 6: Final answer
    x = 750.55

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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.