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Finding the Fourth Proportional to 674.55, 932.99 and 596.93

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Solution

The fourth proportional to 674.55, 932.99 and 596.93 is: 825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 932.99 = 596.93 : x
  2. Step 2: Convert to fraction form
    674.55/932.99 = 596.93/x
  3. Step 3: Cross multiply
    674.55x = 932.99 × 596.93
  4. Step 4: Simplify right side
    674.55x = 556,922.07
  5. Step 5: Solve for x
    x = 556,922.07/674.55
  6. Step 6: Final answer
    x = 825.62

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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.