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Finding the Fourth Proportional to 1,245.38, 1,718.29 and 773.05

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Solution

The fourth proportional to 1,245.38, 1,718.29 and 773.05 is: 1,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.38 : 1,718.29 = 773.05 : x
  2. Step 2: Convert to fraction form
    1,245.38/1,718.29 = 773.05/x
  3. Step 3: Cross multiply
    1,245.38x = 1,718.29 × 773.05
  4. Step 4: Simplify right side
    1,245.38x = 1,328,324.08
  5. Step 5: Solve for x
    x = 1,328,324.08/1,245.38
  6. Step 6: Final answer
    x = 1,066.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.