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Finding the Fourth Proportional to 984.18, 1,358.13 and 564.24

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Solution

The fourth proportional to 984.18, 1,358.13 and 564.24 is: 778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.18 : 1,358.13 = 564.24 : x
  2. Step 2: Convert to fraction form
    984.18/1,358.13 = 564.24/x
  3. Step 3: Cross multiply
    984.18x = 1,358.13 × 564.24
  4. Step 4: Simplify right side
    984.18x = 766,311.27
  5. Step 5: Solve for x
    x = 766,311.27/984.18
  6. Step 6: Final answer
    x = 778.63

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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.