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Finding the Fourth Proportional to 1,453.97, 2,180.77 and 577.12

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Solution

The fourth proportional to 1,453.97, 2,180.77 and 577.12 is: 865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.97 : 2,180.77 = 577.12 : x
  2. Step 2: Convert to fraction form
    1,453.97/2,180.77 = 577.12/x
  3. Step 3: Cross multiply
    1,453.97x = 2,180.77 × 577.12
  4. Step 4: Simplify right side
    1,453.97x = 1,258,563.10
  5. Step 5: Solve for x
    x = 1,258,563.10/1,453.97
  6. Step 6: Final answer
    x = 865.60

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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.