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Finding the Fourth Proportional to 764.88, 1,055.77 and 488.88

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Solution

The fourth proportional to 764.88, 1,055.77 and 488.88 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,055.77 = 488.88 : x
  2. Step 2: Convert to fraction form
    764.88/1,055.77 = 488.88/x
  3. Step 3: Cross multiply
    764.88x = 1,055.77 × 488.88
  4. Step 4: Simplify right side
    764.88x = 516,144.84
  5. Step 5: Solve for x
    x = 516,144.84/764.88
  6. Step 6: Final answer
    x = 674.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.