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Finding the Fourth Proportional to 1,440.25, 2,161.03 and 649.81

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Solution

The fourth proportional to 1,440.25, 2,161.03 and 649.81 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.25 : 2,161.03 = 649.81 : x
  2. Step 2: Convert to fraction form
    1,440.25/2,161.03 = 649.81/x
  3. Step 3: Cross multiply
    1,440.25x = 2,161.03 × 649.81
  4. Step 4: Simplify right side
    1,440.25x = 1,404,258.90
  5. Step 5: Solve for x
    x = 1,404,258.90/1,440.25
  6. Step 6: Final answer
    x = 975.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.