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Finding the Fourth Proportional to 836.50, 1,253.76 and 471.46

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Solution

The fourth proportional to 836.50, 1,253.76 and 471.46 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.50 : 1,253.76 = 471.46 : x
  2. Step 2: Convert to fraction form
    836.50/1,253.76 = 471.46/x
  3. Step 3: Cross multiply
    836.50x = 1,253.76 × 471.46
  4. Step 4: Simplify right side
    836.50x = 591,097.69
  5. Step 5: Solve for x
    x = 591,097.69/836.50
  6. Step 6: Final answer
    x = 706.63

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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.