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Finding the Fourth Proportional to 957.94, 1,322.49 and 608.50

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Solution

The fourth proportional to 957.94, 1,322.49 and 608.50 is: 840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 1,322.49 = 608.50 : x
  2. Step 2: Convert to fraction form
    957.94/1,322.49 = 608.50/x
  3. Step 3: Cross multiply
    957.94x = 1,322.49 × 608.50
  4. Step 4: Simplify right side
    957.94x = 804,735.17
  5. Step 5: Solve for x
    x = 804,735.17/957.94
  6. Step 6: Final answer
    x = 840.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.