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Finding the Fourth Proportional to 1,048.87, 1,571.94 and 431.86

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Solution

The fourth proportional to 1,048.87, 1,571.94 and 431.86 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.87 : 1,571.94 = 431.86 : x
  2. Step 2: Convert to fraction form
    1,048.87/1,571.94 = 431.86/x
  3. Step 3: Cross multiply
    1,048.87x = 1,571.94 × 431.86
  4. Step 4: Simplify right side
    1,048.87x = 678,858.01
  5. Step 5: Solve for x
    x = 678,858.01/1,048.87
  6. Step 6: Final answer
    x = 647.23

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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.