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Finding the Fourth Proportional to 777.51, 1,072.54 and 511.67

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Solution

The fourth proportional to 777.51, 1,072.54 and 511.67 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,072.54 = 511.67 : x
  2. Step 2: Convert to fraction form
    777.51/1,072.54 = 511.67/x
  3. Step 3: Cross multiply
    777.51x = 1,072.54 × 511.67
  4. Step 4: Simplify right side
    777.51x = 548,788.35
  5. Step 5: Solve for x
    x = 548,788.35/777.51
  6. Step 6: Final answer
    x = 705.83

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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.