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Finding the Fourth Proportional to 838.04, 1,256.04 and 472.73

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Solution

The fourth proportional to 838.04, 1,256.04 and 472.73 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,256.04 = 472.73 : x
  2. Step 2: Convert to fraction form
    838.04/1,256.04 = 472.73/x
  3. Step 3: Cross multiply
    838.04x = 1,256.04 × 472.73
  4. Step 4: Simplify right side
    838.04x = 593,761.51
  5. Step 5: Solve for x
    x = 593,761.51/838.04
  6. Step 6: Final answer
    x = 708.52

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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.