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Finding the Fourth Proportional to 1,138.96, 1,708.34 and 317.25

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Solution

The fourth proportional to 1,138.96, 1,708.34 and 317.25 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.96 : 1,708.34 = 317.25 : x
  2. Step 2: Convert to fraction form
    1,138.96/1,708.34 = 317.25/x
  3. Step 3: Cross multiply
    1,138.96x = 1,708.34 × 317.25
  4. Step 4: Simplify right side
    1,138.96x = 541,970.87
  5. Step 5: Solve for x
    x = 541,970.87/1,138.96
  6. Step 6: Final answer
    x = 475.85

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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.