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Finding the Fourth Proportional to 840.98, 1,165.46 and 829.23

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Solution

The fourth proportional to 840.98, 1,165.46 and 829.23 is: 1,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.98 : 1,165.46 = 829.23 : x
  2. Step 2: Convert to fraction form
    840.98/1,165.46 = 829.23/x
  3. Step 3: Cross multiply
    840.98x = 1,165.46 × 829.23
  4. Step 4: Simplify right side
    840.98x = 966,436.47
  5. Step 5: Solve for x
    x = 966,436.47/840.98
  6. Step 6: Final answer
    x = 1,149.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.