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Finding the Fourth Proportional to 764.55, 1,055.07 and 415.24

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Solution

The fourth proportional to 764.55, 1,055.07 and 415.24 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,055.07 = 415.24 : x
  2. Step 2: Convert to fraction form
    764.55/1,055.07 = 415.24/x
  3. Step 3: Cross multiply
    764.55x = 1,055.07 × 415.24
  4. Step 4: Simplify right side
    764.55x = 438,104.63
  5. Step 5: Solve for x
    x = 438,104.63/764.55
  6. Step 6: Final answer
    x = 573.02

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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.