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Finding the Fourth Proportional to 835.07, 1,251.75 and 286.86

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Solution

The fourth proportional to 835.07, 1,251.75 and 286.86 is: 430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.07 : 1,251.75 = 286.86 : x
  2. Step 2: Convert to fraction form
    835.07/1,251.75 = 286.86/x
  3. Step 3: Cross multiply
    835.07x = 1,251.75 × 286.86
  4. Step 4: Simplify right side
    835.07x = 359,077.01
  5. Step 5: Solve for x
    x = 359,077.01/835.07
  6. Step 6: Final answer
    x = 430.00

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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.