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Finding the Fourth Proportional to 795.91, 1,096.98 and 599.08

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Solution

The fourth proportional to 795.91, 1,096.98 and 599.08 is: 825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.91 : 1,096.98 = 599.08 : x
  2. Step 2: Convert to fraction form
    795.91/1,096.98 = 599.08/x
  3. Step 3: Cross multiply
    795.91x = 1,096.98 × 599.08
  4. Step 4: Simplify right side
    795.91x = 657,178.78
  5. Step 5: Solve for x
    x = 657,178.78/795.91
  6. Step 6: Final answer
    x = 825.69

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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.