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Finding the Fourth Proportional to 764.50, 1,054.26 and 465.78

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Solution

The fourth proportional to 764.50, 1,054.26 and 465.78 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,054.26 = 465.78 : x
  2. Step 2: Convert to fraction form
    764.50/1,054.26 = 465.78/x
  3. Step 3: Cross multiply
    764.50x = 1,054.26 × 465.78
  4. Step 4: Simplify right side
    764.50x = 491,053.22
  5. Step 5: Solve for x
    x = 491,053.22/764.50
  6. Step 6: Final answer
    x = 642.32

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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.