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Finding the Fourth Proportional to 829.08, 1,243.62 and 785.34

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Solution

The fourth proportional to 829.08, 1,243.62 and 785.34 is: 1,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,243.62 = 785.34 : x
  2. Step 2: Convert to fraction form
    829.08/1,243.62 = 785.34/x
  3. Step 3: Cross multiply
    829.08x = 1,243.62 × 785.34
  4. Step 4: Simplify right side
    829.08x = 976,664.53
  5. Step 5: Solve for x
    x = 976,664.53/829.08
  6. Step 6: Final answer
    x = 1,178.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.