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Finding the Fourth Proportional to 699.42, 963.99 and 524.46

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Solution

The fourth proportional to 699.42, 963.99 and 524.46 is: 722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.42 : 963.99 = 524.46 : x
  2. Step 2: Convert to fraction form
    699.42/963.99 = 524.46/x
  3. Step 3: Cross multiply
    699.42x = 963.99 × 524.46
  4. Step 4: Simplify right side
    699.42x = 505,574.20
  5. Step 5: Solve for x
    x = 505,574.20/699.42
  6. Step 6: Final answer
    x = 722.85

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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.