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Finding the Fourth Proportional to 1,110.98, 1,533.34 and 844.99

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Solution

The fourth proportional to 1,110.98, 1,533.34 and 844.99 is: 1,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.98 : 1,533.34 = 844.99 : x
  2. Step 2: Convert to fraction form
    1,110.98/1,533.34 = 844.99/x
  3. Step 3: Cross multiply
    1,110.98x = 1,533.34 × 844.99
  4. Step 4: Simplify right side
    1,110.98x = 1,295,658.69
  5. Step 5: Solve for x
    x = 1,295,658.69/1,110.98
  6. Step 6: Final answer
    x = 1,166.23

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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.