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Finding the Fourth Proportional to 1,213.29, 1,674.81 and 771.57

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Solution

The fourth proportional to 1,213.29, 1,674.81 and 771.57 is: 1,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.29 : 1,674.81 = 771.57 : x
  2. Step 2: Convert to fraction form
    1,213.29/1,674.81 = 771.57/x
  3. Step 3: Cross multiply
    1,213.29x = 1,674.81 × 771.57
  4. Step 4: Simplify right side
    1,213.29x = 1,292,233.15
  5. Step 5: Solve for x
    x = 1,292,233.15/1,213.29
  6. Step 6: Final answer
    x = 1,065.07

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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.