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Finding the Fourth Proportional to 703.86, 1,055.97 and 319.14

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Solution

The fourth proportional to 703.86, 1,055.97 and 319.14 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 1,055.97 = 319.14 : x
  2. Step 2: Convert to fraction form
    703.86/1,055.97 = 319.14/x
  3. Step 3: Cross multiply
    703.86x = 1,055.97 × 319.14
  4. Step 4: Simplify right side
    703.86x = 337,002.27
  5. Step 5: Solve for x
    x = 337,002.27/703.86
  6. Step 6: Final answer
    x = 478.79

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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.