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Finding the Fourth Proportional to 984.41, 1,358.33 and 564.75

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Solution

The fourth proportional to 984.41, 1,358.33 and 564.75 is: 779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.41 : 1,358.33 = 564.75 : x
  2. Step 2: Convert to fraction form
    984.41/1,358.33 = 564.75/x
  3. Step 3: Cross multiply
    984.41x = 1,358.33 × 564.75
  4. Step 4: Simplify right side
    984.41x = 767,114.04
  5. Step 5: Solve for x
    x = 767,114.04/984.41
  6. Step 6: Final answer
    x = 779.27

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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.