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Finding the Fourth Proportional to 1,137.54, 1,705.66 and 396.80

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Solution

The fourth proportional to 1,137.54, 1,705.66 and 396.80 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.54 : 1,705.66 = 396.80 : x
  2. Step 2: Convert to fraction form
    1,137.54/1,705.66 = 396.80/x
  3. Step 3: Cross multiply
    1,137.54x = 1,705.66 × 396.80
  4. Step 4: Simplify right side
    1,137.54x = 676,805.89
  5. Step 5: Solve for x
    x = 676,805.89/1,137.54
  6. Step 6: Final answer
    x = 594.97

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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.