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Finding the Fourth Proportional to 840.73, 1,259.87 and 474.74

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Solution

The fourth proportional to 840.73, 1,259.87 and 474.74 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.73 : 1,259.87 = 474.74 : x
  2. Step 2: Convert to fraction form
    840.73/1,259.87 = 474.74/x
  3. Step 3: Cross multiply
    840.73x = 1,259.87 × 474.74
  4. Step 4: Simplify right side
    840.73x = 598,110.68
  5. Step 5: Solve for x
    x = 598,110.68/840.73
  6. Step 6: Final answer
    x = 711.42

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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.