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Finding the Fourth Proportional to 1,434.33, 1,979.43 and 930.29

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Solution

The fourth proportional to 1,434.33, 1,979.43 and 930.29 is: 1,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.33 : 1,979.43 = 930.29 : x
  2. Step 2: Convert to fraction form
    1,434.33/1,979.43 = 930.29/x
  3. Step 3: Cross multiply
    1,434.33x = 1,979.43 × 930.29
  4. Step 4: Simplify right side
    1,434.33x = 1,841,434.04
  5. Step 5: Solve for x
    x = 1,841,434.04/1,434.33
  6. Step 6: Final answer
    x = 1,283.83

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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.