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Finding the Fourth Proportional to 1,460.63, 2,015.69 and 831.16

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Solution

The fourth proportional to 1,460.63, 2,015.69 and 831.16 is: 1,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.63 : 2,015.69 = 831.16 : x
  2. Step 2: Convert to fraction form
    1,460.63/2,015.69 = 831.16/x
  3. Step 3: Cross multiply
    1,460.63x = 2,015.69 × 831.16
  4. Step 4: Simplify right side
    1,460.63x = 1,675,360.90
  5. Step 5: Solve for x
    x = 1,675,360.90/1,460.63
  6. Step 6: Final answer
    x = 1,147.01

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