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Finding the Fourth Proportional to 764.78, 1,055.40 and 415.47

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Solution

The fourth proportional to 764.78, 1,055.40 and 415.47 is: 573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,055.40 = 415.47 : x
  2. Step 2: Convert to fraction form
    764.78/1,055.40 = 415.47/x
  3. Step 3: Cross multiply
    764.78x = 1,055.40 × 415.47
  4. Step 4: Simplify right side
    764.78x = 438,484.96
  5. Step 5: Solve for x
    x = 438,484.96/764.78
  6. Step 6: Final answer
    x = 573.35

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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.