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Finding the Fourth Proportional to 1,270.71, 1,752.93 and 1,095.75

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Solution

The fourth proportional to 1,270.71, 1,752.93 and 1,095.75 is: 1,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.71 : 1,752.93 = 1,095.75 : x
  2. Step 2: Convert to fraction form
    1,270.71/1,752.93 = 1,095.75/x
  3. Step 3: Cross multiply
    1,270.71x = 1,752.93 × 1,095.75
  4. Step 4: Simplify right side
    1,270.71x = 1,920,773.05
  5. Step 5: Solve for x
    x = 1,920,773.05/1,270.71
  6. Step 6: Final answer
    x = 1,511.57

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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.