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Finding the Fourth Proportional to 859.05, 1,288.47 and 835.95

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Solution

The fourth proportional to 859.05, 1,288.47 and 835.95 is: 1,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.05 : 1,288.47 = 835.95 : x
  2. Step 2: Convert to fraction form
    859.05/1,288.47 = 835.95/x
  3. Step 3: Cross multiply
    859.05x = 1,288.47 × 835.95
  4. Step 4: Simplify right side
    859.05x = 1,077,096.50
  5. Step 5: Solve for x
    x = 1,077,096.50/859.05
  6. Step 6: Final answer
    x = 1,253.82

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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.