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Finding the Fourth Proportional to 655.40, 983.70 and 564.20

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Solution

The fourth proportional to 655.40, 983.70 and 564.20 is: 846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.40 : 983.70 = 564.20 : x
  2. Step 2: Convert to fraction form
    655.40/983.70 = 564.20/x
  3. Step 3: Cross multiply
    655.40x = 983.70 × 564.20
  4. Step 4: Simplify right side
    655.40x = 555,003.54
  5. Step 5: Solve for x
    x = 555,003.54/655.40
  6. Step 6: Final answer
    x = 846.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.