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Finding the Fourth Proportional to 1,137.44, 1,705.97 and 315.79

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Solution

The fourth proportional to 1,137.44, 1,705.97 and 315.79 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.44 : 1,705.97 = 315.79 : x
  2. Step 2: Convert to fraction form
    1,137.44/1,705.97 = 315.79/x
  3. Step 3: Cross multiply
    1,137.44x = 1,705.97 × 315.79
  4. Step 4: Simplify right side
    1,137.44x = 538,724.79
  5. Step 5: Solve for x
    x = 538,724.79/1,137.44
  6. Step 6: Final answer
    x = 473.63

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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.