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Finding the Fourth Proportional to 984.46, 1,358.61 and 564.81

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Solution

The fourth proportional to 984.46, 1,358.61 and 564.81 is: 779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.46 : 1,358.61 = 564.81 : x
  2. Step 2: Convert to fraction form
    984.46/1,358.61 = 564.81/x
  3. Step 3: Cross multiply
    984.46x = 1,358.61 × 564.81
  4. Step 4: Simplify right side
    984.46x = 767,355.87
  5. Step 5: Solve for x
    x = 767,355.87/984.46
  6. Step 6: Final answer
    x = 779.47

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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.