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Finding the Fourth Proportional to 957.54, 1,321.34 and 559.15

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Solution

The fourth proportional to 957.54, 1,321.34 and 559.15 is: 771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.54 : 1,321.34 = 559.15 : x
  2. Step 2: Convert to fraction form
    957.54/1,321.34 = 559.15/x
  3. Step 3: Cross multiply
    957.54x = 1,321.34 × 559.15
  4. Step 4: Simplify right side
    957.54x = 738,828.66
  5. Step 5: Solve for x
    x = 738,828.66/957.54
  6. Step 6: Final answer
    x = 771.59

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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.