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Finding the Fourth Proportional to 838.73, 1,256 and 529.65

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Solution

The fourth proportional to 838.73, 1,256 and 529.65 is: 793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.73 : 1,256 = 529.65 : x
  2. Step 2: Convert to fraction form
    838.73/1,256 = 529.65/x
  3. Step 3: Cross multiply
    838.73x = 1,256 × 529.65
  4. Step 4: Simplify right side
    838.73x = 665,240.40
  5. Step 5: Solve for x
    x = 665,240.40/838.73
  6. Step 6: Final answer
    x = 793.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.