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Finding the Fourth Proportional to 1,026.69, 1,407.44 and 1,008.06

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Solution

The fourth proportional to 1,026.69, 1,407.44 and 1,008.06 is: 1,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,407.44 = 1,008.06 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,407.44 = 1,008.06/x
  3. Step 3: Cross multiply
    1,026.69x = 1,407.44 × 1,008.06
  4. Step 4: Simplify right side
    1,026.69x = 1,418,778.93
  5. Step 5: Solve for x
    x = 1,418,778.93/1,026.69
  6. Step 6: Final answer
    x = 1,381.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.