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Finding the Fourth Proportional to 1,155.30, 1,731.92 and 505.52

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Solution

The fourth proportional to 1,155.30, 1,731.92 and 505.52 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.30 : 1,731.92 = 505.52 : x
  2. Step 2: Convert to fraction form
    1,155.30/1,731.92 = 505.52/x
  3. Step 3: Cross multiply
    1,155.30x = 1,731.92 × 505.52
  4. Step 4: Simplify right side
    1,155.30x = 875,520.20
  5. Step 5: Solve for x
    x = 875,520.20/1,155.30
  6. Step 6: Final answer
    x = 757.83

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