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Finding the Fourth Proportional to 1,460.65, 2,015.91 and 831.02

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Solution

The fourth proportional to 1,460.65, 2,015.91 and 831.02 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.65 : 2,015.91 = 831.02 : x
  2. Step 2: Convert to fraction form
    1,460.65/2,015.91 = 831.02/x
  3. Step 3: Cross multiply
    1,460.65x = 2,015.91 × 831.02
  4. Step 4: Simplify right side
    1,460.65x = 1,675,257.37
  5. Step 5: Solve for x
    x = 1,675,257.37/1,460.65
  6. Step 6: Final answer
    x = 1,146.93

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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.