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Finding the Fourth Proportional to 1,264.06, 1,896.06 and 716.27

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Solution

The fourth proportional to 1,264.06, 1,896.06 and 716.27 is: 1,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.06 : 1,896.06 = 716.27 : x
  2. Step 2: Convert to fraction form
    1,264.06/1,896.06 = 716.27/x
  3. Step 3: Cross multiply
    1,264.06x = 1,896.06 × 716.27
  4. Step 4: Simplify right side
    1,264.06x = 1,358,085.41
  5. Step 5: Solve for x
    x = 1,358,085.41/1,264.06
  6. Step 6: Final answer
    x = 1,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.