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Finding the Fourth Proportional to 699.63, 963.75 and 599.72

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Solution

The fourth proportional to 699.63, 963.75 and 599.72 is: 826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.63 : 963.75 = 599.72 : x
  2. Step 2: Convert to fraction form
    699.63/963.75 = 599.72/x
  3. Step 3: Cross multiply
    699.63x = 963.75 × 599.72
  4. Step 4: Simplify right side
    699.63x = 577,977.58
  5. Step 5: Solve for x
    x = 577,977.58/699.63
  6. Step 6: Final answer
    x = 826.12

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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.