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Finding the Fourth Proportional to 535.01, 800.67 and 522.86

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Solution

The fourth proportional to 535.01, 800.67 and 522.86 is: 782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.01 : 800.67 = 522.86 : x
  2. Step 2: Convert to fraction form
    535.01/800.67 = 522.86/x
  3. Step 3: Cross multiply
    535.01x = 800.67 × 522.86
  4. Step 4: Simplify right side
    535.01x = 418,634.31
  5. Step 5: Solve for x
    x = 418,634.31/535.01
  6. Step 6: Final answer
    x = 782.49

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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.