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Finding the Fourth Proportional to 1,004.54, 1,384.52 and 817.64

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Solution

The fourth proportional to 1,004.54, 1,384.52 and 817.64 is: 1,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.54 : 1,384.52 = 817.64 : x
  2. Step 2: Convert to fraction form
    1,004.54/1,384.52 = 817.64/x
  3. Step 3: Cross multiply
    1,004.54x = 1,384.52 × 817.64
  4. Step 4: Simplify right side
    1,004.54x = 1,132,027.92
  5. Step 5: Solve for x
    x = 1,132,027.92/1,004.54
  6. Step 6: Final answer
    x = 1,126.91

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