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Finding the Fourth Proportional to 1,495.06, 2,063.46 and 865.98

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Solution

The fourth proportional to 1,495.06, 2,063.46 and 865.98 is: 1,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.06 : 2,063.46 = 865.98 : x
  2. Step 2: Convert to fraction form
    1,495.06/2,063.46 = 865.98/x
  3. Step 3: Cross multiply
    1,495.06x = 2,063.46 × 865.98
  4. Step 4: Simplify right side
    1,495.06x = 1,786,915.09
  5. Step 5: Solve for x
    x = 1,786,915.09/1,495.06
  6. Step 6: Final answer
    x = 1,195.21

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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.