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Finding the Fourth Proportional to 1,155.44, 1,732.62 and 505.82

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Solution

The fourth proportional to 1,155.44, 1,732.62 and 505.82 is: 758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.44 : 1,732.62 = 505.82 : x
  2. Step 2: Convert to fraction form
    1,155.44/1,732.62 = 505.82/x
  3. Step 3: Cross multiply
    1,155.44x = 1,732.62 × 505.82
  4. Step 4: Simplify right side
    1,155.44x = 876,393.85
  5. Step 5: Solve for x
    x = 876,393.85/1,155.44
  6. Step 6: Final answer
    x = 758.49

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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.