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Finding the Fourth Proportional to 1,329.77, 1,834.56 and 857.62

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Solution

The fourth proportional to 1,329.77, 1,834.56 and 857.62 is: 1,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.77 : 1,834.56 = 857.62 : x
  2. Step 2: Convert to fraction form
    1,329.77/1,834.56 = 857.62/x
  3. Step 3: Cross multiply
    1,329.77x = 1,834.56 × 857.62
  4. Step 4: Simplify right side
    1,329.77x = 1,573,350.76
  5. Step 5: Solve for x
    x = 1,573,350.76/1,329.77
  6. Step 6: Final answer
    x = 1,183.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.