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Finding the Fourth Proportional to 1,580.77, 2,371.43 and 540.88

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Solution

The fourth proportional to 1,580.77, 2,371.43 and 540.88 is: 811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.77 : 2,371.43 = 540.88 : x
  2. Step 2: Convert to fraction form
    1,580.77/2,371.43 = 540.88/x
  3. Step 3: Cross multiply
    1,580.77x = 2,371.43 × 540.88
  4. Step 4: Simplify right side
    1,580.77x = 1,282,651.44
  5. Step 5: Solve for x
    x = 1,282,651.44/1,580.77
  6. Step 6: Final answer
    x = 811.41

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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.