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Finding the Fourth Proportional to 1,524.76, 2,285.76 and 550.63

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Solution

The fourth proportional to 1,524.76, 2,285.76 and 550.63 is: 825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.76 : 2,285.76 = 550.63 : x
  2. Step 2: Convert to fraction form
    1,524.76/2,285.76 = 550.63/x
  3. Step 3: Cross multiply
    1,524.76x = 2,285.76 × 550.63
  4. Step 4: Simplify right side
    1,524.76x = 1,258,608.03
  5. Step 5: Solve for x
    x = 1,258,608.03/1,524.76
  6. Step 6: Final answer
    x = 825.45

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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.