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Finding the Fourth Proportional to 699.84, 964.68 and 533.52

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Solution

The fourth proportional to 699.84, 964.68 and 533.52 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.84 : 964.68 = 533.52 : x
  2. Step 2: Convert to fraction form
    699.84/964.68 = 533.52/x
  3. Step 3: Cross multiply
    699.84x = 964.68 × 533.52
  4. Step 4: Simplify right side
    699.84x = 514,676.07
  5. Step 5: Solve for x
    x = 514,676.07/699.84
  6. Step 6: Final answer
    x = 735.42

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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.