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Finding the Fourth Proportional to 1,137.14, 1,705.62 and 677.84

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Solution

The fourth proportional to 1,137.14, 1,705.62 and 677.84 is: 1,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.14 : 1,705.62 = 677.84 : x
  2. Step 2: Convert to fraction form
    1,137.14/1,705.62 = 677.84/x
  3. Step 3: Cross multiply
    1,137.14x = 1,705.62 × 677.84
  4. Step 4: Simplify right side
    1,137.14x = 1,156,131.47
  5. Step 5: Solve for x
    x = 1,156,131.47/1,137.14
  6. Step 6: Final answer
    x = 1,016.70

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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.