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Finding the Fourth Proportional to 1,138.63, 1,708.61 and 480.47

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Solution

The fourth proportional to 1,138.63, 1,708.61 and 480.47 is: 720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.63 : 1,708.61 = 480.47 : x
  2. Step 2: Convert to fraction form
    1,138.63/1,708.61 = 480.47/x
  3. Step 3: Cross multiply
    1,138.63x = 1,708.61 × 480.47
  4. Step 4: Simplify right side
    1,138.63x = 820,935.85
  5. Step 5: Solve for x
    x = 820,935.85/1,138.63
  6. Step 6: Final answer
    x = 720.99

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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.