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Finding the Fourth Proportional to 1,505.52, 2,258.36 and 580.94

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Solution

The fourth proportional to 1,505.52, 2,258.36 and 580.94 is: 871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.52 : 2,258.36 = 580.94 : x
  2. Step 2: Convert to fraction form
    1,505.52/2,258.36 = 580.94/x
  3. Step 3: Cross multiply
    1,505.52x = 2,258.36 × 580.94
  4. Step 4: Simplify right side
    1,505.52x = 1,311,971.66
  5. Step 5: Solve for x
    x = 1,311,971.66/1,505.52
  6. Step 6: Final answer
    x = 871.44

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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.