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Finding the Fourth Proportional to 1,138.68, 1,708.01 and 316.95

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Solution

The fourth proportional to 1,138.68, 1,708.01 and 316.95 is: 475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.68 : 1,708.01 = 316.95 : x
  2. Step 2: Convert to fraction form
    1,138.68/1,708.01 = 316.95/x
  3. Step 3: Cross multiply
    1,138.68x = 1,708.01 × 316.95
  4. Step 4: Simplify right side
    1,138.68x = 541,352.18
  5. Step 5: Solve for x
    x = 541,352.18/1,138.68
  6. Step 6: Final answer
    x = 475.42

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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.