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Finding the Fourth Proportional to 835.98, 1,253.84 and 288.15

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Solution

The fourth proportional to 835.98, 1,253.84 and 288.15 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.98 : 1,253.84 = 288.15 : x
  2. Step 2: Convert to fraction form
    835.98/1,253.84 = 288.15/x
  3. Step 3: Cross multiply
    835.98x = 1,253.84 × 288.15
  4. Step 4: Simplify right side
    835.98x = 361,292.56
  5. Step 5: Solve for x
    x = 361,292.56/835.98
  6. Step 6: Final answer
    x = 432.18

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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.