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Finding the Fourth Proportional to 732.73, 1,007.94 and 598.45

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Solution

The fourth proportional to 732.73, 1,007.94 and 598.45 is: 823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.73 : 1,007.94 = 598.45 : x
  2. Step 2: Convert to fraction form
    732.73/1,007.94 = 598.45/x
  3. Step 3: Cross multiply
    732.73x = 1,007.94 × 598.45
  4. Step 4: Simplify right side
    732.73x = 603,201.69
  5. Step 5: Solve for x
    x = 603,201.69/732.73
  6. Step 6: Final answer
    x = 823.23

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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.