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Finding the Fourth Proportional to 1,048.34, 1,571.22 and 431.66

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Solution

The fourth proportional to 1,048.34, 1,571.22 and 431.66 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.34 : 1,571.22 = 431.66 : x
  2. Step 2: Convert to fraction form
    1,048.34/1,571.22 = 431.66/x
  3. Step 3: Cross multiply
    1,048.34x = 1,571.22 × 431.66
  4. Step 4: Simplify right side
    1,048.34x = 678,232.83
  5. Step 5: Solve for x
    x = 678,232.83/1,048.34
  6. Step 6: Final answer
    x = 646.96

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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.