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Finding the Fourth Proportional to 697.75, 1,043.49 and 533.27

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Solution

The fourth proportional to 697.75, 1,043.49 and 533.27 is: 797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.75 : 1,043.49 = 533.27 : x
  2. Step 2: Convert to fraction form
    697.75/1,043.49 = 533.27/x
  3. Step 3: Cross multiply
    697.75x = 1,043.49 × 533.27
  4. Step 4: Simplify right side
    697.75x = 556,461.91
  5. Step 5: Solve for x
    x = 556,461.91/697.75
  6. Step 6: Final answer
    x = 797.51

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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.