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Finding the Fourth Proportional to 699.58, 964.89 and 513.01

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Solution

The fourth proportional to 699.58, 964.89 and 513.01 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.58 : 964.89 = 513.01 : x
  2. Step 2: Convert to fraction form
    699.58/964.89 = 513.01/x
  3. Step 3: Cross multiply
    699.58x = 964.89 × 513.01
  4. Step 4: Simplify right side
    699.58x = 494,993.39
  5. Step 5: Solve for x
    x = 494,993.39/699.58
  6. Step 6: Final answer
    x = 707.56

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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.