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Finding the Fourth Proportional to 1,077.36, 1,614.84 and 460.56

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Solution

The fourth proportional to 1,077.36, 1,614.84 and 460.56 is: 690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.36 : 1,614.84 = 460.56 : x
  2. Step 2: Convert to fraction form
    1,077.36/1,614.84 = 460.56/x
  3. Step 3: Cross multiply
    1,077.36x = 1,614.84 × 460.56
  4. Step 4: Simplify right side
    1,077.36x = 743,730.71
  5. Step 5: Solve for x
    x = 743,730.71/1,077.36
  6. Step 6: Final answer
    x = 690.33

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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.