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Finding the Fourth Proportional to 984.08, 1,357.66 and 564.13

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Solution

The fourth proportional to 984.08, 1,357.66 and 564.13 is: 778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.08 : 1,357.66 = 564.13 : x
  2. Step 2: Convert to fraction form
    984.08/1,357.66 = 564.13/x
  3. Step 3: Cross multiply
    984.08x = 1,357.66 × 564.13
  4. Step 4: Simplify right side
    984.08x = 765,896.74
  5. Step 5: Solve for x
    x = 765,896.74/984.08
  6. Step 6: Final answer
    x = 778.29

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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.