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Finding the Fourth Proportional to 764.10, 1,054.46 and 414.79

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Solution

The fourth proportional to 764.10, 1,054.46 and 414.79 is: 572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.10 : 1,054.46 = 414.79 : x
  2. Step 2: Convert to fraction form
    764.10/1,054.46 = 414.79/x
  3. Step 3: Cross multiply
    764.10x = 1,054.46 × 414.79
  4. Step 4: Simplify right side
    764.10x = 437,379.46
  5. Step 5: Solve for x
    x = 437,379.46/764.10
  6. Step 6: Final answer
    x = 572.41

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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.