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Finding the Fourth Proportional to 699.52, 964.47 and 533.47

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Solution

The fourth proportional to 699.52, 964.47 and 533.47 is: 735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 964.47 = 533.47 : x
  2. Step 2: Convert to fraction form
    699.52/964.47 = 533.47/x
  3. Step 3: Cross multiply
    699.52x = 964.47 × 533.47
  4. Step 4: Simplify right side
    699.52x = 514,515.81
  5. Step 5: Solve for x
    x = 514,515.81/699.52
  6. Step 6: Final answer
    x = 735.53

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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.