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Finding the Fourth Proportional to 699.18, 964.89 and 524.22

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Solution

The fourth proportional to 699.18, 964.89 and 524.22 is: 723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.18 : 964.89 = 524.22 : x
  2. Step 2: Convert to fraction form
    699.18/964.89 = 524.22/x
  3. Step 3: Cross multiply
    699.18x = 964.89 × 524.22
  4. Step 4: Simplify right side
    699.18x = 505,814.64
  5. Step 5: Solve for x
    x = 505,814.64/699.18
  6. Step 6: Final answer
    x = 723.44

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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.