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Finding the Fourth Proportional to 957.42, 1,435.26 and 665.06

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Solution

The fourth proportional to 957.42, 1,435.26 and 665.06 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.42 : 1,435.26 = 665.06 : x
  2. Step 2: Convert to fraction form
    957.42/1,435.26 = 665.06/x
  3. Step 3: Cross multiply
    957.42x = 1,435.26 × 665.06
  4. Step 4: Simplify right side
    957.42x = 954,533.60
  5. Step 5: Solve for x
    x = 954,533.60/957.42
  6. Step 6: Final answer
    x = 996.98

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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.