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Finding the Fourth Proportional to 1,047.44, 1,571.37 and 317.08

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Solution

The fourth proportional to 1,047.44, 1,571.37 and 317.08 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.44 : 1,571.37 = 317.08 : x
  2. Step 2: Convert to fraction form
    1,047.44/1,571.37 = 317.08/x
  3. Step 3: Cross multiply
    1,047.44x = 1,571.37 × 317.08
  4. Step 4: Simplify right side
    1,047.44x = 498,250.00
  5. Step 5: Solve for x
    x = 498,250.00/1,047.44
  6. Step 6: Final answer
    x = 475.68

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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.