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Finding the Fourth Proportional to 1,047.38, 1,571.07 and 431.42

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Solution

The fourth proportional to 1,047.38, 1,571.07 and 431.42 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.38 : 1,571.07 = 431.42 : x
  2. Step 2: Convert to fraction form
    1,047.38/1,571.07 = 431.42/x
  3. Step 3: Cross multiply
    1,047.38x = 1,571.07 × 431.42
  4. Step 4: Simplify right side
    1,047.38x = 677,791.02
  5. Step 5: Solve for x
    x = 677,791.02/1,047.38
  6. Step 6: Final answer
    x = 647.13

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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.