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Finding the Fourth Proportional to 1,106.82, 1,526.85 and 844.38

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Solution

The fourth proportional to 1,106.82, 1,526.85 and 844.38 is: 1,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.82 : 1,526.85 = 844.38 : x
  2. Step 2: Convert to fraction form
    1,106.82/1,526.85 = 844.38/x
  3. Step 3: Cross multiply
    1,106.82x = 1,526.85 × 844.38
  4. Step 4: Simplify right side
    1,106.82x = 1,289,241.60
  5. Step 5: Solve for x
    x = 1,289,241.60/1,106.82
  6. Step 6: Final answer
    x = 1,164.82

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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.