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Finding the Fourth Proportional to 1,434.63, 1,979.43 and 1,010.22

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Solution

The fourth proportional to 1,434.63, 1,979.43 and 1,010.22 is: 1,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.63 : 1,979.43 = 1,010.22 : x
  2. Step 2: Convert to fraction form
    1,434.63/1,979.43 = 1,010.22/x
  3. Step 3: Cross multiply
    1,434.63x = 1,979.43 × 1,010.22
  4. Step 4: Simplify right side
    1,434.63x = 1,999,659.77
  5. Step 5: Solve for x
    x = 1,999,659.77/1,434.63
  6. Step 6: Final answer
    x = 1,393.85

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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.