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Finding the Fourth Proportional to 650.99, 897.67 and 532.07

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Solution

The fourth proportional to 650.99, 897.67 and 532.07 is: 733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.99 : 897.67 = 532.07 : x
  2. Step 2: Convert to fraction form
    650.99/897.67 = 532.07/x
  3. Step 3: Cross multiply
    650.99x = 897.67 × 532.07
  4. Step 4: Simplify right side
    650.99x = 477,620.62
  5. Step 5: Solve for x
    x = 477,620.62/650.99
  6. Step 6: Final answer
    x = 733.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.