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Finding the Fourth Proportional to 1,133.30, 1,696.82 and 854.81

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Solution

The fourth proportional to 1,133.30, 1,696.82 and 854.81 is: 1,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.30 : 1,696.82 = 854.81 : x
  2. Step 2: Convert to fraction form
    1,133.30/1,696.82 = 854.81/x
  3. Step 3: Cross multiply
    1,133.30x = 1,696.82 × 854.81
  4. Step 4: Simplify right side
    1,133.30x = 1,450,464.29
  5. Step 5: Solve for x
    x = 1,450,464.29/1,133.30
  6. Step 6: Final answer
    x = 1,279.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.