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Finding the Fourth Proportional to 1,048.14, 1,571.81 and 431.46

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Solution

The fourth proportional to 1,048.14, 1,571.81 and 431.46 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.14 : 1,571.81 = 431.46 : x
  2. Step 2: Convert to fraction form
    1,048.14/1,571.81 = 431.46/x
  3. Step 3: Cross multiply
    1,048.14x = 1,571.81 × 431.46
  4. Step 4: Simplify right side
    1,048.14x = 678,170.99
  5. Step 5: Solve for x
    x = 678,170.99/1,048.14
  6. Step 6: Final answer
    x = 647.02

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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.