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Finding the Fourth Proportional to 597.96, 892.97 and 514.83

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Solution

The fourth proportional to 597.96, 892.97 and 514.83 is: 768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 892.97 = 514.83 : x
  2. Step 2: Convert to fraction form
    597.96/892.97 = 514.83/x
  3. Step 3: Cross multiply
    597.96x = 892.97 × 514.83
  4. Step 4: Simplify right side
    597.96x = 459,727.75
  5. Step 5: Solve for x
    x = 459,727.75/597.96
  6. Step 6: Final answer
    x = 768.83

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.