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Finding the Fourth Proportional to 996.70, 1,374.76 and 598.09

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Solution

The fourth proportional to 996.70, 1,374.76 and 598.09 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.70 : 1,374.76 = 598.09 : x
  2. Step 2: Convert to fraction form
    996.70/1,374.76 = 598.09/x
  3. Step 3: Cross multiply
    996.70x = 1,374.76 × 598.09
  4. Step 4: Simplify right side
    996.70x = 822,230.21
  5. Step 5: Solve for x
    x = 822,230.21/996.70
  6. Step 6: Final answer
    x = 824.95

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Double scale
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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.