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Finding the Fourth Proportional to 1,296.51, 1,789.46 and 854.45

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Solution

The fourth proportional to 1,296.51, 1,789.46 and 854.45 is: 1,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.51 : 1,789.46 = 854.45 : x
  2. Step 2: Convert to fraction form
    1,296.51/1,789.46 = 854.45/x
  3. Step 3: Cross multiply
    1,296.51x = 1,789.46 × 854.45
  4. Step 4: Simplify right side
    1,296.51x = 1,529,004.10
  5. Step 5: Solve for x
    x = 1,529,004.10/1,296.51
  6. Step 6: Final answer
    x = 1,179.32

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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.