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Finding the Fourth Proportional to 1,155.83, 1,731.51 and 667.40

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Solution

The fourth proportional to 1,155.83, 1,731.51 and 667.40 is: 999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.83 : 1,731.51 = 667.40 : x
  2. Step 2: Convert to fraction form
    1,155.83/1,731.51 = 667.40/x
  3. Step 3: Cross multiply
    1,155.83x = 1,731.51 × 667.40
  4. Step 4: Simplify right side
    1,155.83x = 1,155,601.12
  5. Step 5: Solve for x
    x = 1,155,601.12/1,155.83
  6. Step 6: Final answer
    x = 999.81

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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.