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Finding the Fourth Proportional to 835.64, 1,253.64 and 258.50

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Solution

The fourth proportional to 835.64, 1,253.64 and 258.50 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,253.64 = 258.50 : x
  2. Step 2: Convert to fraction form
    835.64/1,253.64 = 258.50/x
  3. Step 3: Cross multiply
    835.64x = 1,253.64 × 258.50
  4. Step 4: Simplify right side
    835.64x = 324,065.94
  5. Step 5: Solve for x
    x = 324,065.94/835.64
  6. Step 6: Final answer
    x = 387.81

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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.