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Finding the Fourth Proportional to 957.97, 1,435.60 and 436.69

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Solution

The fourth proportional to 957.97, 1,435.60 and 436.69 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.97 : 1,435.60 = 436.69 : x
  2. Step 2: Convert to fraction form
    957.97/1,435.60 = 436.69/x
  3. Step 3: Cross multiply
    957.97x = 1,435.60 × 436.69
  4. Step 4: Simplify right side
    957.97x = 626,902.80
  5. Step 5: Solve for x
    x = 626,902.80/957.97
  6. Step 6: Final answer
    x = 654.41

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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.