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Finding the Fourth Proportional to 1,155.69, 1,729.41 and 926.04

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Solution

The fourth proportional to 1,155.69, 1,729.41 and 926.04 is: 1,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.69 : 1,729.41 = 926.04 : x
  2. Step 2: Convert to fraction form
    1,155.69/1,729.41 = 926.04/x
  3. Step 3: Cross multiply
    1,155.69x = 1,729.41 × 926.04
  4. Step 4: Simplify right side
    1,155.69x = 1,601,502.84
  5. Step 5: Solve for x
    x = 1,601,502.84/1,155.69
  6. Step 6: Final answer
    x = 1,385.75

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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.