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Finding the Fourth Proportional to 984.09, 1,357.66 and 564.22

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Solution

The fourth proportional to 984.09, 1,357.66 and 564.22 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.09 : 1,357.66 = 564.22 : x
  2. Step 2: Convert to fraction form
    984.09/1,357.66 = 564.22/x
  3. Step 3: Cross multiply
    984.09x = 1,357.66 × 564.22
  4. Step 4: Simplify right side
    984.09x = 766,012.14
  5. Step 5: Solve for x
    x = 766,012.14/984.09
  6. Step 6: Final answer
    x = 778.40

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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.