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Finding the Fourth Proportional to 598.97, 901.97 and 522.84

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Solution

The fourth proportional to 598.97, 901.97 and 522.84 is: 787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 901.97 = 522.84 : x
  2. Step 2: Convert to fraction form
    598.97/901.97 = 522.84/x
  3. Step 3: Cross multiply
    598.97x = 901.97 × 522.84
  4. Step 4: Simplify right side
    598.97x = 471,585.99
  5. Step 5: Solve for x
    x = 471,585.99/598.97
  6. Step 6: Final answer
    x = 787.33

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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.