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Finding the Fourth Proportional to 984.00, 1,358.04 and 564.44

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Solution

The fourth proportional to 984.00, 1,358.04 and 564.44 is: 779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.00 : 1,358.04 = 564.44 : x
  2. Step 2: Convert to fraction form
    984.00/1,358.04 = 564.44/x
  3. Step 3: Cross multiply
    984.00x = 1,358.04 × 564.44
  4. Step 4: Simplify right side
    984.00x = 766,537.30
  5. Step 5: Solve for x
    x = 766,537.30/984.00
  6. Step 6: Final answer
    x = 779.00

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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.