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Finding the Fourth Proportional to 652.22, 982.23 and 593.90

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Solution

The fourth proportional to 652.22, 982.23 and 593.90 is: 894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 982.23 = 593.90 : x
  2. Step 2: Convert to fraction form
    652.22/982.23 = 593.90/x
  3. Step 3: Cross multiply
    652.22x = 982.23 × 593.90
  4. Step 4: Simplify right side
    652.22x = 583,347.95
  5. Step 5: Solve for x
    x = 583,347.95/652.22
  6. Step 6: Final answer
    x = 894.41

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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.