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Finding the Fourth Proportional to 1,077.34, 1,616.02 and 884.56

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Solution

The fourth proportional to 1,077.34, 1,616.02 and 884.56 is: 1,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.34 : 1,616.02 = 884.56 : x
  2. Step 2: Convert to fraction form
    1,077.34/1,616.02 = 884.56/x
  3. Step 3: Cross multiply
    1,077.34x = 1,616.02 × 884.56
  4. Step 4: Simplify right side
    1,077.34x = 1,429,466.65
  5. Step 5: Solve for x
    x = 1,429,466.65/1,077.34
  6. Step 6: Final answer
    x = 1,326.85

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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.