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Finding the Fourth Proportional to 599.09, 902.16 and 522.97

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Solution

The fourth proportional to 599.09, 902.16 and 522.97 is: 787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 902.16 = 522.97 : x
  2. Step 2: Convert to fraction form
    599.09/902.16 = 522.97/x
  3. Step 3: Cross multiply
    599.09x = 902.16 × 522.97
  4. Step 4: Simplify right side
    599.09x = 471,802.62
  5. Step 5: Solve for x
    x = 471,802.62/599.09
  6. Step 6: Final answer
    x = 787.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.