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Finding the Fourth Proportional to 1,047.78, 1,571.77 and 317.23

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Solution

The fourth proportional to 1,047.78, 1,571.77 and 317.23 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.78 : 1,571.77 = 317.23 : x
  2. Step 2: Convert to fraction form
    1,047.78/1,571.77 = 317.23/x
  3. Step 3: Cross multiply
    1,047.78x = 1,571.77 × 317.23
  4. Step 4: Simplify right side
    1,047.78x = 498,607.87
  5. Step 5: Solve for x
    x = 498,607.87/1,047.78
  6. Step 6: Final answer
    x = 475.87

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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.