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Finding the Fourth Proportional to 1,453.94, 2,180.91 and 588.25

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Solution

The fourth proportional to 1,453.94, 2,180.91 and 588.25 is: 882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.94 : 2,180.91 = 588.25 : x
  2. Step 2: Convert to fraction form
    1,453.94/2,180.91 = 588.25/x
  3. Step 3: Cross multiply
    1,453.94x = 2,180.91 × 588.25
  4. Step 4: Simplify right side
    1,453.94x = 1,282,920.31
  5. Step 5: Solve for x
    x = 1,282,920.31/1,453.94
  6. Step 6: Final answer
    x = 882.38

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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.