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Finding the Fourth Proportional to 839.67, 1,258.28 and 473.68

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Solution

The fourth proportional to 839.67, 1,258.28 and 473.68 is: 709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.67 : 1,258.28 = 473.68 : x
  2. Step 2: Convert to fraction form
    839.67/1,258.28 = 473.68/x
  3. Step 3: Cross multiply
    839.67x = 1,258.28 × 473.68
  4. Step 4: Simplify right side
    839.67x = 596,025.72
  5. Step 5: Solve for x
    x = 596,025.72/839.67
  6. Step 6: Final answer
    x = 709.84

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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.