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Finding the Fourth Proportional to 1,453.88, 2,180.82 and 588.19

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Solution

The fourth proportional to 1,453.88, 2,180.82 and 588.19 is: 882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.88 : 2,180.82 = 588.19 : x
  2. Step 2: Convert to fraction form
    1,453.88/2,180.82 = 588.19/x
  3. Step 3: Cross multiply
    1,453.88x = 2,180.82 × 588.19
  4. Step 4: Simplify right side
    1,453.88x = 1,282,736.52
  5. Step 5: Solve for x
    x = 1,282,736.52/1,453.88
  6. Step 6: Final answer
    x = 882.29

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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.