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Finding the Fourth Proportional to 556.56, 830.76 and 516.52

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Solution

The fourth proportional to 556.56, 830.76 and 516.52 is: 770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 830.76 = 516.52 : x
  2. Step 2: Convert to fraction form
    556.56/830.76 = 516.52/x
  3. Step 3: Cross multiply
    556.56x = 830.76 × 516.52
  4. Step 4: Simplify right side
    556.56x = 429,104.16
  5. Step 5: Solve for x
    x = 429,104.16/556.56
  6. Step 6: Final answer
    x = 770.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.