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Finding the Fourth Proportional to 598.60, 901.41 and 522.47

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Solution

The fourth proportional to 598.60, 901.41 and 522.47 is: 786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 901.41 = 522.47 : x
  2. Step 2: Convert to fraction form
    598.60/901.41 = 522.47/x
  3. Step 3: Cross multiply
    598.60x = 901.41 × 522.47
  4. Step 4: Simplify right side
    598.60x = 470,952.56
  5. Step 5: Solve for x
    x = 470,952.56/598.60
  6. Step 6: Final answer
    x = 786.76

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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.