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Finding the Fourth Proportional to 598.09, 900.65 and 521.97

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Solution

The fourth proportional to 598.09, 900.65 and 521.97 is: 786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.09 : 900.65 = 521.97 : x
  2. Step 2: Convert to fraction form
    598.09/900.65 = 521.97/x
  3. Step 3: Cross multiply
    598.09x = 900.65 × 521.97
  4. Step 4: Simplify right side
    598.09x = 470,112.28
  5. Step 5: Solve for x
    x = 470,112.28/598.09
  6. Step 6: Final answer
    x = 786.02

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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.