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Finding the Fourth Proportional to 1,410.13, 2,112.87 and 485.18

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Solution

The fourth proportional to 1,410.13, 2,112.87 and 485.18 is: 726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.13 : 2,112.87 = 485.18 : x
  2. Step 2: Convert to fraction form
    1,410.13/2,112.87 = 485.18/x
  3. Step 3: Cross multiply
    1,410.13x = 2,112.87 × 485.18
  4. Step 4: Simplify right side
    1,410.13x = 1,025,117.81
  5. Step 5: Solve for x
    x = 1,025,117.81/1,410.13
  6. Step 6: Final answer
    x = 726.97

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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.