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Finding the Fourth Proportional to 703.78, 1,055.67 and 411.46

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Solution

The fourth proportional to 703.78, 1,055.67 and 411.46 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.78 : 1,055.67 = 411.46 : x
  2. Step 2: Convert to fraction form
    703.78/1,055.67 = 411.46/x
  3. Step 3: Cross multiply
    703.78x = 1,055.67 × 411.46
  4. Step 4: Simplify right side
    703.78x = 434,365.98
  5. Step 5: Solve for x
    x = 434,365.98/703.78
  6. Step 6: Final answer
    x = 617.19

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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.