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Finding the Fourth Proportional to 1,584.22, 2,372.77 and 763.06

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Solution

The fourth proportional to 1,584.22, 2,372.77 and 763.06 is: 1,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.22 : 2,372.77 = 763.06 : x
  2. Step 2: Convert to fraction form
    1,584.22/2,372.77 = 763.06/x
  3. Step 3: Cross multiply
    1,584.22x = 2,372.77 × 763.06
  4. Step 4: Simplify right side
    1,584.22x = 1,810,565.88
  5. Step 5: Solve for x
    x = 1,810,565.88/1,584.22
  6. Step 6: Final answer
    x = 1,142.88

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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.