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Finding the Fourth Proportional to 764.43, 1,054.93 and 415.12

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Solution

The fourth proportional to 764.43, 1,054.93 and 415.12 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.43 : 1,054.93 = 415.12 : x
  2. Step 2: Convert to fraction form
    764.43/1,054.93 = 415.12/x
  3. Step 3: Cross multiply
    764.43x = 1,054.93 × 415.12
  4. Step 4: Simplify right side
    764.43x = 437,917.83
  5. Step 5: Solve for x
    x = 437,917.83/764.43
  6. Step 6: Final answer
    x = 572.87

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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.