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Finding the Fourth Proportional to 1,297.32, 1,945.71 and 770.43

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Solution

The fourth proportional to 1,297.32, 1,945.71 and 770.43 is: 1,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.32 : 1,945.71 = 770.43 : x
  2. Step 2: Convert to fraction form
    1,297.32/1,945.71 = 770.43/x
  3. Step 3: Cross multiply
    1,297.32x = 1,945.71 × 770.43
  4. Step 4: Simplify right side
    1,297.32x = 1,499,033.36
  5. Step 5: Solve for x
    x = 1,499,033.36/1,297.32
  6. Step 6: Final answer
    x = 1,155.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.