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Finding the Fourth Proportional to 696.75, 1,041.99 and 532.27

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Solution

The fourth proportional to 696.75, 1,041.99 and 532.27 is: 796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,041.99 = 532.27 : x
  2. Step 2: Convert to fraction form
    696.75/1,041.99 = 532.27/x
  3. Step 3: Cross multiply
    696.75x = 1,041.99 × 532.27
  4. Step 4: Simplify right side
    696.75x = 554,620.02
  5. Step 5: Solve for x
    x = 554,620.02/696.75
  6. Step 6: Final answer
    x = 796.01

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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.