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Finding the Fourth Proportional to 1,460.67, 2,015.22 and 831.12

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Solution

The fourth proportional to 1,460.67, 2,015.22 and 831.12 is: 1,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.67 : 2,015.22 = 831.12 : x
  2. Step 2: Convert to fraction form
    1,460.67/2,015.22 = 831.12/x
  3. Step 3: Cross multiply
    1,460.67x = 2,015.22 × 831.12
  4. Step 4: Simplify right side
    1,460.67x = 1,674,889.65
  5. Step 5: Solve for x
    x = 1,674,889.65/1,460.67
  6. Step 6: Final answer
    x = 1,146.66

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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.