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Finding the Fourth Proportional to 763.87, 1,054.53 and 516.49

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Solution

The fourth proportional to 763.87, 1,054.53 and 516.49 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.87 : 1,054.53 = 516.49 : x
  2. Step 2: Convert to fraction form
    763.87/1,054.53 = 516.49/x
  3. Step 3: Cross multiply
    763.87x = 1,054.53 × 516.49
  4. Step 4: Simplify right side
    763.87x = 544,654.20
  5. Step 5: Solve for x
    x = 544,654.20/763.87
  6. Step 6: Final answer
    x = 713.02

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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.