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Finding the Fourth Proportional to 1,077.73, 1,616.08 and 384.38

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Solution

The fourth proportional to 1,077.73, 1,616.08 and 384.38 is: 576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.73 : 1,616.08 = 384.38 : x
  2. Step 2: Convert to fraction form
    1,077.73/1,616.08 = 384.38/x
  3. Step 3: Cross multiply
    1,077.73x = 1,616.08 × 384.38
  4. Step 4: Simplify right side
    1,077.73x = 621,191.91
  5. Step 5: Solve for x
    x = 621,191.91/1,077.73
  6. Step 6: Final answer
    x = 576.39

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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.