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Finding the Fourth Proportional to 839.04, 1,257.54 and 473.73

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Solution

The fourth proportional to 839.04, 1,257.54 and 473.73 is: 710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.04 : 1,257.54 = 473.73 : x
  2. Step 2: Convert to fraction form
    839.04/1,257.54 = 473.73/x
  3. Step 3: Cross multiply
    839.04x = 1,257.54 × 473.73
  4. Step 4: Simplify right side
    839.04x = 595,734.42
  5. Step 5: Solve for x
    x = 595,734.42/839.04
  6. Step 6: Final answer
    x = 710.02

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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.