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Finding the Fourth Proportional to 598.39, 820.75 and 570.04

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Solution

The fourth proportional to 598.39, 820.75 and 570.04 is: 781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 820.75 = 570.04 : x
  2. Step 2: Convert to fraction form
    598.39/820.75 = 570.04/x
  3. Step 3: Cross multiply
    598.39x = 820.75 × 570.04
  4. Step 4: Simplify right side
    598.39x = 467,860.33
  5. Step 5: Solve for x
    x = 467,860.33/598.39
  6. Step 6: Final answer
    x = 781.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.