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Finding the Fourth Proportional to 1,137.27, 1,705.69 and 315.43

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Solution

The fourth proportional to 1,137.27, 1,705.69 and 315.43 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.27 : 1,705.69 = 315.43 : x
  2. Step 2: Convert to fraction form
    1,137.27/1,705.69 = 315.43/x
  3. Step 3: Cross multiply
    1,137.27x = 1,705.69 × 315.43
  4. Step 4: Simplify right side
    1,137.27x = 538,025.80
  5. Step 5: Solve for x
    x = 538,025.80/1,137.27
  6. Step 6: Final answer
    x = 473.09

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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.