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Finding the Fourth Proportional to 835.25, 1,252.87 and 510.84

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Solution

The fourth proportional to 835.25, 1,252.87 and 510.84 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.25 : 1,252.87 = 510.84 : x
  2. Step 2: Convert to fraction form
    835.25/1,252.87 = 510.84/x
  3. Step 3: Cross multiply
    835.25x = 1,252.87 × 510.84
  4. Step 4: Simplify right side
    835.25x = 640,014.83
  5. Step 5: Solve for x
    x = 640,014.83/835.25
  6. Step 6: Final answer
    x = 766.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.