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Finding the Fourth Proportional to 1,047.77, 1,571.84 and 431.14

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Solution

The fourth proportional to 1,047.77, 1,571.84 and 431.14 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.77 : 1,571.84 = 431.14 : x
  2. Step 2: Convert to fraction form
    1,047.77/1,571.84 = 431.14/x
  3. Step 3: Cross multiply
    1,047.77x = 1,571.84 × 431.14
  4. Step 4: Simplify right side
    1,047.77x = 677,675.40
  5. Step 5: Solve for x
    x = 677,675.40/1,047.77
  6. Step 6: Final answer
    x = 646.78

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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.