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Finding the Fourth Proportional to 1,155.52, 1,730.82 and 935.20

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Solution

The fourth proportional to 1,155.52, 1,730.82 and 935.20 is: 1,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.52 : 1,730.82 = 935.20 : x
  2. Step 2: Convert to fraction form
    1,155.52/1,730.82 = 935.20/x
  3. Step 3: Cross multiply
    1,155.52x = 1,730.82 × 935.20
  4. Step 4: Simplify right side
    1,155.52x = 1,618,662.86
  5. Step 5: Solve for x
    x = 1,618,662.86/1,155.52
  6. Step 6: Final answer
    x = 1,400.81

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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.