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Finding the Fourth Proportional to 1,138.65, 1,708.01 and 445.29

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Solution

The fourth proportional to 1,138.65, 1,708.01 and 445.29 is: 667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.65 : 1,708.01 = 445.29 : x
  2. Step 2: Convert to fraction form
    1,138.65/1,708.01 = 445.29/x
  3. Step 3: Cross multiply
    1,138.65x = 1,708.01 × 445.29
  4. Step 4: Simplify right side
    1,138.65x = 760,559.77
  5. Step 5: Solve for x
    x = 760,559.77/1,138.65
  6. Step 6: Final answer
    x = 667.95

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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.