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Finding the Fourth Proportional to 984.66, 1,358.85 and 559.26

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Solution

The fourth proportional to 984.66, 1,358.85 and 559.26 is: 771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.66 : 1,358.85 = 559.26 : x
  2. Step 2: Convert to fraction form
    984.66/1,358.85 = 559.26/x
  3. Step 3: Cross multiply
    984.66x = 1,358.85 × 559.26
  4. Step 4: Simplify right side
    984.66x = 759,950.45
  5. Step 5: Solve for x
    x = 759,950.45/984.66
  6. Step 6: Final answer
    x = 771.79

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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.