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Finding the Fourth Proportional to 703.82, 1,055.86 and 270.94

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Solution

The fourth proportional to 703.82, 1,055.86 and 270.94 is: 406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.82 : 1,055.86 = 270.94 : x
  2. Step 2: Convert to fraction form
    703.82/1,055.86 = 270.94/x
  3. Step 3: Cross multiply
    703.82x = 1,055.86 × 270.94
  4. Step 4: Simplify right side
    703.82x = 286,074.71
  5. Step 5: Solve for x
    x = 286,074.71/703.82
  6. Step 6: Final answer
    x = 406.46

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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.