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Finding the Fourth Proportional to 1,255.07, 1,731.78 and 836.05

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Solution

The fourth proportional to 1,255.07, 1,731.78 and 836.05 is: 1,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.07 : 1,731.78 = 836.05 : x
  2. Step 2: Convert to fraction form
    1,255.07/1,731.78 = 836.05/x
  3. Step 3: Cross multiply
    1,255.07x = 1,731.78 × 836.05
  4. Step 4: Simplify right side
    1,255.07x = 1,447,849.15
  5. Step 5: Solve for x
    x = 1,447,849.15/1,255.07
  6. Step 6: Final answer
    x = 1,153.60

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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.