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Finding the Fourth Proportional to 1,072.28, 1,605.88 and 917.32

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Solution

The fourth proportional to 1,072.28, 1,605.88 and 917.32 is: 1,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.28 : 1,605.88 = 917.32 : x
  2. Step 2: Convert to fraction form
    1,072.28/1,605.88 = 917.32/x
  3. Step 3: Cross multiply
    1,072.28x = 1,605.88 × 917.32
  4. Step 4: Simplify right side
    1,072.28x = 1,473,105.84
  5. Step 5: Solve for x
    x = 1,473,105.84/1,072.28
  6. Step 6: Final answer
    x = 1,373.81

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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.