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Finding the Fourth Proportional to 957.04, 1,313.57 and 916.96

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Solution

The fourth proportional to 957.04, 1,313.57 and 916.96 is: 1,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.04 : 1,313.57 = 916.96 : x
  2. Step 2: Convert to fraction form
    957.04/1,313.57 = 916.96/x
  3. Step 3: Cross multiply
    957.04x = 1,313.57 × 916.96
  4. Step 4: Simplify right side
    957.04x = 1,204,491.15
  5. Step 5: Solve for x
    x = 1,204,491.15/957.04
  6. Step 6: Final answer
    x = 1,258.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.