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Finding the Fourth Proportional to 765.33, 1,054.52 and 516.22

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Solution

The fourth proportional to 765.33, 1,054.52 and 516.22 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.33 : 1,054.52 = 516.22 : x
  2. Step 2: Convert to fraction form
    765.33/1,054.52 = 516.22/x
  3. Step 3: Cross multiply
    765.33x = 1,054.52 × 516.22
  4. Step 4: Simplify right side
    765.33x = 544,360.33
  5. Step 5: Solve for x
    x = 544,360.33/765.33
  6. Step 6: Final answer
    x = 711.28

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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.