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Finding the Fourth Proportional to 829.89, 1,146.41 and 786.15

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Solution

The fourth proportional to 829.89, 1,146.41 and 786.15 is: 1,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,146.41 = 786.15 : x
  2. Step 2: Convert to fraction form
    829.89/1,146.41 = 786.15/x
  3. Step 3: Cross multiply
    829.89x = 1,146.41 × 786.15
  4. Step 4: Simplify right side
    829.89x = 901,252.19
  5. Step 5: Solve for x
    x = 901,252.19/829.89
  6. Step 6: Final answer
    x = 1,085.99

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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.