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Finding the Fourth Proportional to 665.99, 920.97 and 599.47

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Solution

The fourth proportional to 665.99, 920.97 and 599.47 is: 828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.99 : 920.97 = 599.47 : x
  2. Step 2: Convert to fraction form
    665.99/920.97 = 599.47/x
  3. Step 3: Cross multiply
    665.99x = 920.97 × 599.47
  4. Step 4: Simplify right side
    665.99x = 552,091.58
  5. Step 5: Solve for x
    x = 552,091.58/665.99
  6. Step 6: Final answer
    x = 828.98

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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.