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Finding the Fourth Proportional to 764.74, 1,055.32 and 415.43

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Solution

The fourth proportional to 764.74, 1,055.32 and 415.43 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.74 : 1,055.32 = 415.43 : x
  2. Step 2: Convert to fraction form
    764.74/1,055.32 = 415.43/x
  3. Step 3: Cross multiply
    764.74x = 1,055.32 × 415.43
  4. Step 4: Simplify right side
    764.74x = 438,411.59
  5. Step 5: Solve for x
    x = 438,411.59/764.74
  6. Step 6: Final answer
    x = 573.28

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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.