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Finding the Fourth Proportional to 835.48, 1,253.24 and 510.24

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Solution

The fourth proportional to 835.48, 1,253.24 and 510.24 is: 765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.48 : 1,253.24 = 510.24 : x
  2. Step 2: Convert to fraction form
    835.48/1,253.24 = 510.24/x
  3. Step 3: Cross multiply
    835.48x = 1,253.24 × 510.24
  4. Step 4: Simplify right side
    835.48x = 639,453.18
  5. Step 5: Solve for x
    x = 639,453.18/835.48
  6. Step 6: Final answer
    x = 765.37

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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.