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Finding the Fourth Proportional to 951.14, 1,426.34 and 561.94

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Solution

The fourth proportional to 951.14, 1,426.34 and 561.94 is: 842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.14 : 1,426.34 = 561.94 : x
  2. Step 2: Convert to fraction form
    951.14/1,426.34 = 561.94/x
  3. Step 3: Cross multiply
    951.14x = 1,426.34 × 561.94
  4. Step 4: Simplify right side
    951.14x = 801,515.34
  5. Step 5: Solve for x
    x = 801,515.34/951.14
  6. Step 6: Final answer
    x = 842.69

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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.