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Finding the Fourth Proportional to 765.45, 1,055.43 and 485.33

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Solution

The fourth proportional to 765.45, 1,055.43 and 485.33 is: 669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,055.43 = 485.33 : x
  2. Step 2: Convert to fraction form
    765.45/1,055.43 = 485.33/x
  3. Step 3: Cross multiply
    765.45x = 1,055.43 × 485.33
  4. Step 4: Simplify right side
    765.45x = 512,226.56
  5. Step 5: Solve for x
    x = 512,226.56/765.45
  6. Step 6: Final answer
    x = 669.18

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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.