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Finding the Fourth Proportional to 810.23, 1,215.34 and 537.55

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Solution

The fourth proportional to 810.23, 1,215.34 and 537.55 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.23 : 1,215.34 = 537.55 : x
  2. Step 2: Convert to fraction form
    810.23/1,215.34 = 537.55/x
  3. Step 3: Cross multiply
    810.23x = 1,215.34 × 537.55
  4. Step 4: Simplify right side
    810.23x = 653,306.02
  5. Step 5: Solve for x
    x = 653,306.02/810.23
  6. Step 6: Final answer
    x = 806.32

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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.