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Finding the Fourth Proportional to 839.73, 1,258.38 and 473.74

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Solution

The fourth proportional to 839.73, 1,258.38 and 473.74 is: 709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.73 : 1,258.38 = 473.74 : x
  2. Step 2: Convert to fraction form
    839.73/1,258.38 = 473.74/x
  3. Step 3: Cross multiply
    839.73x = 1,258.38 × 473.74
  4. Step 4: Simplify right side
    839.73x = 596,142.57
  5. Step 5: Solve for x
    x = 596,142.57/839.73
  6. Step 6: Final answer
    x = 709.92

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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.