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Finding the Fourth Proportional to 699.93, 964.89 and 552.30

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Solution

The fourth proportional to 699.93, 964.89 and 552.30 is: 761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.93 : 964.89 = 552.30 : x
  2. Step 2: Convert to fraction form
    699.93/964.89 = 552.30/x
  3. Step 3: Cross multiply
    699.93x = 964.89 × 552.30
  4. Step 4: Simplify right side
    699.93x = 532,908.75
  5. Step 5: Solve for x
    x = 532,908.75/699.93
  6. Step 6: Final answer
    x = 761.37

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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.