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Finding the Fourth Proportional to 1,434.81, 1,979.79 and 845.46

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Solution

The fourth proportional to 1,434.81, 1,979.79 and 845.46 is: 1,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.81 : 1,979.79 = 845.46 : x
  2. Step 2: Convert to fraction form
    1,434.81/1,979.79 = 845.46/x
  3. Step 3: Cross multiply
    1,434.81x = 1,979.79 × 845.46
  4. Step 4: Simplify right side
    1,434.81x = 1,673,833.25
  5. Step 5: Solve for x
    x = 1,673,833.25/1,434.81
  6. Step 6: Final answer
    x = 1,166.59

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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.