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Finding the Fourth Proportional to 765.27, 1,055.61 and 485.37

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Solution

The fourth proportional to 765.27, 1,055.61 and 485.37 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.27 : 1,055.61 = 485.37 : x
  2. Step 2: Convert to fraction form
    765.27/1,055.61 = 485.37/x
  3. Step 3: Cross multiply
    765.27x = 1,055.61 × 485.37
  4. Step 4: Simplify right side
    765.27x = 512,361.43
  5. Step 5: Solve for x
    x = 512,361.43/765.27
  6. Step 6: Final answer
    x = 669.52

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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.