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Finding the Fourth Proportional to 836.04, 1,253.04 and 470.73

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Solution

The fourth proportional to 836.04, 1,253.04 and 470.73 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.04 : 1,253.04 = 470.73 : x
  2. Step 2: Convert to fraction form
    836.04/1,253.04 = 470.73/x
  3. Step 3: Cross multiply
    836.04x = 1,253.04 × 470.73
  4. Step 4: Simplify right side
    836.04x = 589,843.52
  5. Step 5: Solve for x
    x = 589,843.52/836.04
  6. Step 6: Final answer
    x = 705.52

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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.