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Finding the Fourth Proportional to 840.83, 1,160.48 and 605.39

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Solution

The fourth proportional to 840.83, 1,160.48 and 605.39 is: 835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.83 : 1,160.48 = 605.39 : x
  2. Step 2: Convert to fraction form
    840.83/1,160.48 = 605.39/x
  3. Step 3: Cross multiply
    840.83x = 1,160.48 × 605.39
  4. Step 4: Simplify right side
    840.83x = 702,539.96
  5. Step 5: Solve for x
    x = 702,539.96/840.83
  6. Step 6: Final answer
    x = 835.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.