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Finding the Fourth Proportional to 1,075.44, 1,483.41 and 632.97

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Solution

The fourth proportional to 1,075.44, 1,483.41 and 632.97 is: 873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.44 : 1,483.41 = 632.97 : x
  2. Step 2: Convert to fraction form
    1,075.44/1,483.41 = 632.97/x
  3. Step 3: Cross multiply
    1,075.44x = 1,483.41 × 632.97
  4. Step 4: Simplify right side
    1,075.44x = 938,954.03
  5. Step 5: Solve for x
    x = 938,954.03/1,075.44
  6. Step 6: Final answer
    x = 873.09

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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.