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Finding the Fourth Proportional to 836.89, 1,253.49 and 471.46

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Solution

The fourth proportional to 836.89, 1,253.49 and 471.46 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.89 : 1,253.49 = 471.46 : x
  2. Step 2: Convert to fraction form
    836.89/1,253.49 = 471.46/x
  3. Step 3: Cross multiply
    836.89x = 1,253.49 × 471.46
  4. Step 4: Simplify right side
    836.89x = 590,970.40
  5. Step 5: Solve for x
    x = 590,970.40/836.89
  6. Step 6: Final answer
    x = 706.15

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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.