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Finding the Fourth Proportional to 1,048.09, 1,571.70 and 431.38

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Solution

The fourth proportional to 1,048.09, 1,571.70 and 431.38 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.09 : 1,571.70 = 431.38 : x
  2. Step 2: Convert to fraction form
    1,048.09/1,571.70 = 431.38/x
  3. Step 3: Cross multiply
    1,048.09x = 1,571.70 × 431.38
  4. Step 4: Simplify right side
    1,048.09x = 677,994.69
  5. Step 5: Solve for x
    x = 677,994.69/1,048.09
  6. Step 6: Final answer
    x = 646.89

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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.