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Finding the Fourth Proportional to 655.30, 982.47 and 553.24

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Solution

The fourth proportional to 655.30, 982.47 and 553.24 is: 829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.30 : 982.47 = 553.24 : x
  2. Step 2: Convert to fraction form
    655.30/982.47 = 553.24/x
  3. Step 3: Cross multiply
    655.30x = 982.47 × 553.24
  4. Step 4: Simplify right side
    655.30x = 543,541.70
  5. Step 5: Solve for x
    x = 543,541.70/655.30
  6. Step 6: Final answer
    x = 829.45

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