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Finding the Fourth Proportional to 1,155.33, 1,732.05 and 790.83

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Solution

The fourth proportional to 1,155.33, 1,732.05 and 790.83 is: 1,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.33 : 1,732.05 = 790.83 : x
  2. Step 2: Convert to fraction form
    1,155.33/1,732.05 = 790.83/x
  3. Step 3: Cross multiply
    1,155.33x = 1,732.05 × 790.83
  4. Step 4: Simplify right side
    1,155.33x = 1,369,757.10
  5. Step 5: Solve for x
    x = 1,369,757.10/1,155.33
  6. Step 6: Final answer
    x = 1,185.60

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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.