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Finding the Fourth Proportional to 764.28, 1,054.71 and 414.97

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Solution

The fourth proportional to 764.28, 1,054.71 and 414.97 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.28 : 1,054.71 = 414.97 : x
  2. Step 2: Convert to fraction form
    764.28/1,054.71 = 414.97/x
  3. Step 3: Cross multiply
    764.28x = 1,054.71 × 414.97
  4. Step 4: Simplify right side
    764.28x = 437,671.97
  5. Step 5: Solve for x
    x = 437,671.97/764.28
  6. Step 6: Final answer
    x = 572.66

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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.