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Finding the Fourth Proportional to 764.46, 1,054.89 and 465.66

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Solution

The fourth proportional to 764.46, 1,054.89 and 465.66 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,054.89 = 465.66 : x
  2. Step 2: Convert to fraction form
    764.46/1,054.89 = 465.66/x
  3. Step 3: Cross multiply
    764.46x = 1,054.89 × 465.66
  4. Step 4: Simplify right side
    764.46x = 491,220.08
  5. Step 5: Solve for x
    x = 491,220.08/764.46
  6. Step 6: Final answer
    x = 642.57

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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.