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Finding the Fourth Proportional to 957.75, 1,322.07 and 626.46

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Solution

The fourth proportional to 957.75, 1,322.07 and 626.46 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.75 : 1,322.07 = 626.46 : x
  2. Step 2: Convert to fraction form
    957.75/1,322.07 = 626.46/x
  3. Step 3: Cross multiply
    957.75x = 1,322.07 × 626.46
  4. Step 4: Simplify right side
    957.75x = 828,223.97
  5. Step 5: Solve for x
    x = 828,223.97/957.75
  6. Step 6: Final answer
    x = 864.76

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Why These Related Problems?

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