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Finding the Fourth Proportional to 1,047.74, 1,571.63 and 317.31

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Solution

The fourth proportional to 1,047.74, 1,571.63 and 317.31 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,571.63 = 317.31 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,571.63 = 317.31/x
  3. Step 3: Cross multiply
    1,047.74x = 1,571.63 × 317.31
  4. Step 4: Simplify right side
    1,047.74x = 498,692.33
  5. Step 5: Solve for x
    x = 498,692.33/1,047.74
  6. Step 6: Final answer
    x = 475.97

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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.