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Finding the Fourth Proportional to 699.06, 964.26 and 532.92

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Solution

The fourth proportional to 699.06, 964.26 and 532.92 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.06 : 964.26 = 532.92 : x
  2. Step 2: Convert to fraction form
    699.06/964.26 = 532.92/x
  3. Step 3: Cross multiply
    699.06x = 964.26 × 532.92
  4. Step 4: Simplify right side
    699.06x = 513,873.44
  5. Step 5: Solve for x
    x = 513,873.44/699.06
  6. Step 6: Final answer
    x = 735.09

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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.