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Finding the Fourth Proportional to 846.66, 1,165.98 and 659.82

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Solution

The fourth proportional to 846.66, 1,165.98 and 659.82 is: 908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.66 : 1,165.98 = 659.82 : x
  2. Step 2: Convert to fraction form
    846.66/1,165.98 = 659.82/x
  3. Step 3: Cross multiply
    846.66x = 1,165.98 × 659.82
  4. Step 4: Simplify right side
    846.66x = 769,336.92
  5. Step 5: Solve for x
    x = 769,336.92/846.66
  6. Step 6: Final answer
    x = 908.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.