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Finding the Fourth Proportional to 836.76, 1,253.90 and 471.04

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Solution

The fourth proportional to 836.76, 1,253.90 and 471.04 is: 705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,253.90 = 471.04 : x
  2. Step 2: Convert to fraction form
    836.76/1,253.90 = 471.04/x
  3. Step 3: Cross multiply
    836.76x = 1,253.90 × 471.04
  4. Step 4: Simplify right side
    836.76x = 590,637.06
  5. Step 5: Solve for x
    x = 590,637.06/836.76
  6. Step 6: Final answer
    x = 705.86

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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.