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Finding the Fourth Proportional to 779.98, 1,076.93 and 485.50

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Solution

The fourth proportional to 779.98, 1,076.93 and 485.50 is: 670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.98 : 1,076.93 = 485.50 : x
  2. Step 2: Convert to fraction form
    779.98/1,076.93 = 485.50/x
  3. Step 3: Cross multiply
    779.98x = 1,076.93 × 485.50
  4. Step 4: Simplify right side
    779.98x = 522,849.52
  5. Step 5: Solve for x
    x = 522,849.52/779.98
  6. Step 6: Final answer
    x = 670.34

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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.