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Finding the Fourth Proportional to 1,273.70, 1,758.08 and 831.67

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Solution

The fourth proportional to 1,273.70, 1,758.08 and 831.67 is: 1,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.70 : 1,758.08 = 831.67 : x
  2. Step 2: Convert to fraction form
    1,273.70/1,758.08 = 831.67/x
  3. Step 3: Cross multiply
    1,273.70x = 1,758.08 × 831.67
  4. Step 4: Simplify right side
    1,273.70x = 1,462,138.00
  5. Step 5: Solve for x
    x = 1,462,138.00/1,273.70
  6. Step 6: Final answer
    x = 1,147.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.