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Finding the Fourth Proportional to 1,329.87, 1,836.08 and 857.96

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Solution

The fourth proportional to 1,329.87, 1,836.08 and 857.96 is: 1,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.87 : 1,836.08 = 857.96 : x
  2. Step 2: Convert to fraction form
    1,329.87/1,836.08 = 857.96/x
  3. Step 3: Cross multiply
    1,329.87x = 1,836.08 × 857.96
  4. Step 4: Simplify right side
    1,329.87x = 1,575,283.20
  5. Step 5: Solve for x
    x = 1,575,283.20/1,329.87
  6. Step 6: Final answer
    x = 1,184.54

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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.