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Finding the Fourth Proportional to 1,075.26, 1,483.92 and 812.82

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Solution

The fourth proportional to 1,075.26, 1,483.92 and 812.82 is: 1,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.26 : 1,483.92 = 812.82 : x
  2. Step 2: Convert to fraction form
    1,075.26/1,483.92 = 812.82/x
  3. Step 3: Cross multiply
    1,075.26x = 1,483.92 × 812.82
  4. Step 4: Simplify right side
    1,075.26x = 1,206,159.85
  5. Step 5: Solve for x
    x = 1,206,159.85/1,075.26
  6. Step 6: Final answer
    x = 1,121.74

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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.