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Finding the Fourth Proportional to 1,329.85, 1,836.02 and 857.98

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Solution

The fourth proportional to 1,329.85, 1,836.02 and 857.98 is: 1,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.85 : 1,836.02 = 857.98 : x
  2. Step 2: Convert to fraction form
    1,329.85/1,836.02 = 857.98/x
  3. Step 3: Cross multiply
    1,329.85x = 1,836.02 × 857.98
  4. Step 4: Simplify right side
    1,329.85x = 1,575,268.44
  5. Step 5: Solve for x
    x = 1,575,268.44/1,329.85
  6. Step 6: Final answer
    x = 1,184.55

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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.