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Finding the Fourth Proportional to 859.07, 1,288.03 and 694.74

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Solution

The fourth proportional to 859.07, 1,288.03 and 694.74 is: 1,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.07 : 1,288.03 = 694.74 : x
  2. Step 2: Convert to fraction form
    859.07/1,288.03 = 694.74/x
  3. Step 3: Cross multiply
    859.07x = 1,288.03 × 694.74
  4. Step 4: Simplify right side
    859.07x = 894,845.96
  5. Step 5: Solve for x
    x = 894,845.96/859.07
  6. Step 6: Final answer
    x = 1,041.64

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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.