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Finding the Fourth Proportional to 1,100.69, 1,515.42 and 1,026.17

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Solution

The fourth proportional to 1,100.69, 1,515.42 and 1,026.17 is: 1,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.69 : 1,515.42 = 1,026.17 : x
  2. Step 2: Convert to fraction form
    1,100.69/1,515.42 = 1,026.17/x
  3. Step 3: Cross multiply
    1,100.69x = 1,515.42 × 1,026.17
  4. Step 4: Simplify right side
    1,100.69x = 1,555,070.96
  5. Step 5: Solve for x
    x = 1,555,070.96/1,100.69
  6. Step 6: Final answer
    x = 1,412.82

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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.