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Finding the Fourth Proportional to 764.90, 1,055.94 and 496.04

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Solution

The fourth proportional to 764.90, 1,055.94 and 496.04 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.90 : 1,055.94 = 496.04 : x
  2. Step 2: Convert to fraction form
    764.90/1,055.94 = 496.04/x
  3. Step 3: Cross multiply
    764.90x = 1,055.94 × 496.04
  4. Step 4: Simplify right side
    764.90x = 523,783.20
  5. Step 5: Solve for x
    x = 523,783.20/764.90
  6. Step 6: Final answer
    x = 684.77

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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.