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Finding the Fourth Proportional to 1,213.11, 1,673.46 and 770.24

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Solution

The fourth proportional to 1,213.11, 1,673.46 and 770.24 is: 1,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.11 : 1,673.46 = 770.24 : x
  2. Step 2: Convert to fraction form
    1,213.11/1,673.46 = 770.24/x
  3. Step 3: Cross multiply
    1,213.11x = 1,673.46 × 770.24
  4. Step 4: Simplify right side
    1,213.11x = 1,288,970.01
  5. Step 5: Solve for x
    x = 1,288,970.01/1,213.11
  6. Step 6: Final answer
    x = 1,062.53

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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.