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Finding the Fourth Proportional to 829.59, 1,144.17 and 804.21

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Solution

The fourth proportional to 829.59, 1,144.17 and 804.21 is: 1,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,144.17 = 804.21 : x
  2. Step 2: Convert to fraction form
    829.59/1,144.17 = 804.21/x
  3. Step 3: Cross multiply
    829.59x = 1,144.17 × 804.21
  4. Step 4: Simplify right side
    829.59x = 920,152.96
  5. Step 5: Solve for x
    x = 920,152.96/829.59
  6. Step 6: Final answer
    x = 1,109.17

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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.