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Finding the Fourth Proportional to 840.67, 1,259.78 and 474.68

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Solution

The fourth proportional to 840.67, 1,259.78 and 474.68 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.67 : 1,259.78 = 474.68 : x
  2. Step 2: Convert to fraction form
    840.67/1,259.78 = 474.68/x
  3. Step 3: Cross multiply
    840.67x = 1,259.78 × 474.68
  4. Step 4: Simplify right side
    840.67x = 597,992.37
  5. Step 5: Solve for x
    x = 597,992.37/840.67
  6. Step 6: Final answer
    x = 711.33

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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.