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Finding the Fourth Proportional to 1,206.63, 1,664.15 and 786.78

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Solution

The fourth proportional to 1,206.63, 1,664.15 and 786.78 is: 1,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.63 : 1,664.15 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,206.63/1,664.15 = 786.78/x
  3. Step 3: Cross multiply
    1,206.63x = 1,664.15 × 786.78
  4. Step 4: Simplify right side
    1,206.63x = 1,309,316.00
  5. Step 5: Solve for x
    x = 1,309,316.00/1,206.63
  6. Step 6: Final answer
    x = 1,085.10

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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.