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Finding the Fourth Proportional to 998.57, 1,377.65 and 605.45

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Solution

The fourth proportional to 998.57, 1,377.65 and 605.45 is: 835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.57 : 1,377.65 = 605.45 : x
  2. Step 2: Convert to fraction form
    998.57/1,377.65 = 605.45/x
  3. Step 3: Cross multiply
    998.57x = 1,377.65 × 605.45
  4. Step 4: Simplify right side
    998.57x = 834,088.28
  5. Step 5: Solve for x
    x = 834,088.28/998.57
  6. Step 6: Final answer
    x = 835.29

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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.