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Finding the Fourth Proportional to 776.86, 1,072.34 and 514.96

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Solution

The fourth proportional to 776.86, 1,072.34 and 514.96 is: 710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.86 : 1,072.34 = 514.96 : x
  2. Step 2: Convert to fraction form
    776.86/1,072.34 = 514.96/x
  3. Step 3: Cross multiply
    776.86x = 1,072.34 × 514.96
  4. Step 4: Simplify right side
    776.86x = 552,208.88
  5. Step 5: Solve for x
    x = 552,208.88/776.86
  6. Step 6: Final answer
    x = 710.82

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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.