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Finding the Fourth Proportional to 1,065.80, 1,469.58 and 804.44

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Solution

The fourth proportional to 1,065.80, 1,469.58 and 804.44 is: 1,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.80 : 1,469.58 = 804.44 : x
  2. Step 2: Convert to fraction form
    1,065.80/1,469.58 = 804.44/x
  3. Step 3: Cross multiply
    1,065.80x = 1,469.58 × 804.44
  4. Step 4: Simplify right side
    1,065.80x = 1,182,188.94
  5. Step 5: Solve for x
    x = 1,182,188.94/1,065.80
  6. Step 6: Final answer
    x = 1,109.20

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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.