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Finding the Fourth Proportional to 1,277.56, 1,916.52 and 411.58

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Solution

The fourth proportional to 1,277.56, 1,916.52 and 411.58 is: 617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.56 : 1,916.52 = 411.58 : x
  2. Step 2: Convert to fraction form
    1,277.56/1,916.52 = 411.58/x
  3. Step 3: Cross multiply
    1,277.56x = 1,916.52 × 411.58
  4. Step 4: Simplify right side
    1,277.56x = 788,801.30
  5. Step 5: Solve for x
    x = 788,801.30/1,277.56
  6. Step 6: Final answer
    x = 617.43

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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.