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Finding the Fourth Proportional to 777.98, 1,165.80 and 345.44

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Solution

The fourth proportional to 777.98, 1,165.80 and 345.44 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.98 : 1,165.80 = 345.44 : x
  2. Step 2: Convert to fraction form
    777.98/1,165.80 = 345.44/x
  3. Step 3: Cross multiply
    777.98x = 1,165.80 × 345.44
  4. Step 4: Simplify right side
    777.98x = 402,713.95
  5. Step 5: Solve for x
    x = 402,713.95/777.98
  6. Step 6: Final answer
    x = 517.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.