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Finding the Fourth Proportional to 834.45, 1,251.88 and 286.64

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Solution

The fourth proportional to 834.45, 1,251.88 and 286.64 is: 430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.45 : 1,251.88 = 286.64 : x
  2. Step 2: Convert to fraction form
    834.45/1,251.88 = 286.64/x
  3. Step 3: Cross multiply
    834.45x = 1,251.88 × 286.64
  4. Step 4: Simplify right side
    834.45x = 358,838.88
  5. Step 5: Solve for x
    x = 358,838.88/834.45
  6. Step 6: Final answer
    x = 430.03

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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.