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Finding the Fourth Proportional to 703.80, 1,055.85 and 270.96

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Solution

The fourth proportional to 703.80, 1,055.85 and 270.96 is: 406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 1,055.85 = 270.96 : x
  2. Step 2: Convert to fraction form
    703.80/1,055.85 = 270.96/x
  3. Step 3: Cross multiply
    703.80x = 1,055.85 × 270.96
  4. Step 4: Simplify right side
    703.80x = 286,093.12
  5. Step 5: Solve for x
    x = 286,093.12/703.80
  6. Step 6: Final answer
    x = 406.50

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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.