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Finding the Fourth Proportional to 703.69, 1,055.20 and 411.47

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Solution

The fourth proportional to 703.69, 1,055.20 and 411.47 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,055.20 = 411.47 : x
  2. Step 2: Convert to fraction form
    703.69/1,055.20 = 411.47/x
  3. Step 3: Cross multiply
    703.69x = 1,055.20 × 411.47
  4. Step 4: Simplify right side
    703.69x = 434,183.14
  5. Step 5: Solve for x
    x = 434,183.14/703.69
  6. Step 6: Final answer
    x = 617.01

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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.