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Finding the Fourth Proportional to 777.84, 1,073.76 and 516.08

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Solution

The fourth proportional to 777.84, 1,073.76 and 516.08 is: 712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,073.76 = 516.08 : x
  2. Step 2: Convert to fraction form
    777.84/1,073.76 = 516.08/x
  3. Step 3: Cross multiply
    777.84x = 1,073.76 × 516.08
  4. Step 4: Simplify right side
    777.84x = 554,146.06
  5. Step 5: Solve for x
    x = 554,146.06/777.84
  6. Step 6: Final answer
    x = 712.42

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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.