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Finding the Fourth Proportional to 1,075.14, 1,481.76 and 812.70

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Solution

The fourth proportional to 1,075.14, 1,481.76 and 812.70 is: 1,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.14 : 1,481.76 = 812.70 : x
  2. Step 2: Convert to fraction form
    1,075.14/1,481.76 = 812.70/x
  3. Step 3: Cross multiply
    1,075.14x = 1,481.76 × 812.70
  4. Step 4: Simplify right side
    1,075.14x = 1,204,226.35
  5. Step 5: Solve for x
    x = 1,204,226.35/1,075.14
  6. Step 6: Final answer
    x = 1,120.06

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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.