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Finding the Fourth Proportional to 550.26, 827.18 and 510.16

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Solution

The fourth proportional to 550.26, 827.18 and 510.16 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.26 : 827.18 = 510.16 : x
  2. Step 2: Convert to fraction form
    550.26/827.18 = 510.16/x
  3. Step 3: Cross multiply
    550.26x = 827.18 × 510.16
  4. Step 4: Simplify right side
    550.26x = 421,994.15
  5. Step 5: Solve for x
    x = 421,994.15/550.26
  6. Step 6: Final answer
    x = 766.90

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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.