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Finding the Fourth Proportional to 764.57, 1,054.36 and 465.86

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Solution

The fourth proportional to 764.57, 1,054.36 and 465.86 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.57 : 1,054.36 = 465.86 : x
  2. Step 2: Convert to fraction form
    764.57/1,054.36 = 465.86/x
  3. Step 3: Cross multiply
    764.57x = 1,054.36 × 465.86
  4. Step 4: Simplify right side
    764.57x = 491,187.37
  5. Step 5: Solve for x
    x = 491,187.37/764.57
  6. Step 6: Final answer
    x = 642.43

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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.