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Finding the Fourth Proportional to 1,592.53, 2,388.01 and 655.30

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Solution

The fourth proportional to 1,592.53, 2,388.01 and 655.30 is: 982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.53 : 2,388.01 = 655.30 : x
  2. Step 2: Convert to fraction form
    1,592.53/2,388.01 = 655.30/x
  3. Step 3: Cross multiply
    1,592.53x = 2,388.01 × 655.30
  4. Step 4: Simplify right side
    1,592.53x = 1,564,859.68
  5. Step 5: Solve for x
    x = 1,564,859.68/1,592.53
  6. Step 6: Final answer
    x = 982.63

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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.