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Finding the Fourth Proportional to 1,003.60, 1,501.74 and 828.64

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Solution

The fourth proportional to 1,003.60, 1,501.74 and 828.64 is: 1,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.60 : 1,501.74 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,003.60/1,501.74 = 828.64/x
  3. Step 3: Cross multiply
    1,003.60x = 1,501.74 × 828.64
  4. Step 4: Simplify right side
    1,003.60x = 1,244,401.83
  5. Step 5: Solve for x
    x = 1,244,401.83/1,003.60
  6. Step 6: Final answer
    x = 1,239.94

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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.