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Finding the Fourth Proportional to 1,164.10, 1,604.73 and 770.44

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Solution

The fourth proportional to 1,164.10, 1,604.73 and 770.44 is: 1,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.10 : 1,604.73 = 770.44 : x
  2. Step 2: Convert to fraction form
    1,164.10/1,604.73 = 770.44/x
  3. Step 3: Cross multiply
    1,164.10x = 1,604.73 × 770.44
  4. Step 4: Simplify right side
    1,164.10x = 1,236,348.18
  5. Step 5: Solve for x
    x = 1,236,348.18/1,164.10
  6. Step 6: Final answer
    x = 1,062.06

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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.