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Finding the Fourth Proportional to 699.08, 964.20 and 512.51

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Solution

The fourth proportional to 699.08, 964.20 and 512.51 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.08 : 964.20 = 512.51 : x
  2. Step 2: Convert to fraction form
    699.08/964.20 = 512.51/x
  3. Step 3: Cross multiply
    699.08x = 964.20 × 512.51
  4. Step 4: Simplify right side
    699.08x = 494,157.32
  5. Step 5: Solve for x
    x = 494,157.32/699.08
  6. Step 6: Final answer
    x = 706.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.