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Finding the Fourth Proportional to 510.72, 701.52 and 503.52

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Solution

The fourth proportional to 510.72, 701.52 and 503.52 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 701.52 = 503.52 : x
  2. Step 2: Convert to fraction form
    510.72/701.52 = 503.52/x
  3. Step 3: Cross multiply
    510.72x = 701.52 × 503.52
  4. Step 4: Simplify right side
    510.72x = 353,229.35
  5. Step 5: Solve for x
    x = 353,229.35/510.72
  6. Step 6: Final answer
    x = 691.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.