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Finding the Fourth Proportional to 765.10, 1,055.83 and 415.79

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Solution

The fourth proportional to 765.10, 1,055.83 and 415.79 is: 573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.10 : 1,055.83 = 415.79 : x
  2. Step 2: Convert to fraction form
    765.10/1,055.83 = 415.79/x
  3. Step 3: Cross multiply
    765.10x = 1,055.83 × 415.79
  4. Step 4: Simplify right side
    765.10x = 438,997.24
  5. Step 5: Solve for x
    x = 438,997.24/765.10
  6. Step 6: Final answer
    x = 573.78

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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.