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Finding the Fourth Proportional to 1,027.53, 1,416.83 and 828.27

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Solution

The fourth proportional to 1,027.53, 1,416.83 and 828.27 is: 1,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.53 : 1,416.83 = 828.27 : x
  2. Step 2: Convert to fraction form
    1,027.53/1,416.83 = 828.27/x
  3. Step 3: Cross multiply
    1,027.53x = 1,416.83 × 828.27
  4. Step 4: Simplify right side
    1,027.53x = 1,173,513.64
  5. Step 5: Solve for x
    x = 1,173,513.64/1,027.53
  6. Step 6: Final answer
    x = 1,142.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.