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Finding the Fourth Proportional to 1,505.04, 2,255.94 and 580.28

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Solution

The fourth proportional to 1,505.04, 2,255.94 and 580.28 is: 869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.04 : 2,255.94 = 580.28 : x
  2. Step 2: Convert to fraction form
    1,505.04/2,255.94 = 580.28/x
  3. Step 3: Cross multiply
    1,505.04x = 2,255.94 × 580.28
  4. Step 4: Simplify right side
    1,505.04x = 1,309,076.86
  5. Step 5: Solve for x
    x = 1,309,076.86/1,505.04
  6. Step 6: Final answer
    x = 869.80

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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.