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Finding the Fourth Proportional to 1,155.36, 1,731.60 and 667.38

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Solution

The fourth proportional to 1,155.36, 1,731.60 and 667.38 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.36 : 1,731.60 = 667.38 : x
  2. Step 2: Convert to fraction form
    1,155.36/1,731.60 = 667.38/x
  3. Step 3: Cross multiply
    1,155.36x = 1,731.60 × 667.38
  4. Step 4: Simplify right side
    1,155.36x = 1,155,635.21
  5. Step 5: Solve for x
    x = 1,155,635.21/1,155.36
  6. Step 6: Final answer
    x = 1,000.24

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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.