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Finding the Fourth Proportional to 1,077.51, 1,616.28 and 419.43

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Solution

The fourth proportional to 1,077.51, 1,616.28 and 419.43 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.51 : 1,616.28 = 419.43 : x
  2. Step 2: Convert to fraction form
    1,077.51/1,616.28 = 419.43/x
  3. Step 3: Cross multiply
    1,077.51x = 1,616.28 × 419.43
  4. Step 4: Simplify right side
    1,077.51x = 677,916.32
  5. Step 5: Solve for x
    x = 677,916.32/1,077.51
  6. Step 6: Final answer
    x = 629.15

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Why These Related Problems?

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