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Finding the Fourth Proportional to 1,453.36, 2,180.90 and 575.95

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Solution

The fourth proportional to 1,453.36, 2,180.90 and 575.95 is: 864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.36 : 2,180.90 = 575.95 : x
  2. Step 2: Convert to fraction form
    1,453.36/2,180.90 = 575.95/x
  3. Step 3: Cross multiply
    1,453.36x = 2,180.90 × 575.95
  4. Step 4: Simplify right side
    1,453.36x = 1,256,075.57
  5. Step 5: Solve for x
    x = 1,256,075.57/1,453.36
  6. Step 6: Final answer
    x = 864.26

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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.