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Finding the Fourth Proportional to 984.02, 1,357.94 and 564.38

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Solution

The fourth proportional to 984.02, 1,357.94 and 564.38 is: 778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,357.94 = 564.38 : x
  2. Step 2: Convert to fraction form
    984.02/1,357.94 = 564.38/x
  3. Step 3: Cross multiply
    984.02x = 1,357.94 × 564.38
  4. Step 4: Simplify right side
    984.02x = 766,394.18
  5. Step 5: Solve for x
    x = 766,394.18/984.02
  6. Step 6: Final answer
    x = 778.84

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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.