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Finding the Fourth Proportional to 974.94, 1,336.68 and 957.45

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Solution

The fourth proportional to 974.94, 1,336.68 and 957.45 is: 1,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.94 : 1,336.68 = 957.45 : x
  2. Step 2: Convert to fraction form
    974.94/1,336.68 = 957.45/x
  3. Step 3: Cross multiply
    974.94x = 1,336.68 × 957.45
  4. Step 4: Simplify right side
    974.94x = 1,279,804.27
  5. Step 5: Solve for x
    x = 1,279,804.27/974.94
  6. Step 6: Final answer
    x = 1,312.70

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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.