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Finding the Fourth Proportional to 957.77, 1,321.56 and 643.55

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Solution

The fourth proportional to 957.77, 1,321.56 and 643.55 is: 887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.77 : 1,321.56 = 643.55 : x
  2. Step 2: Convert to fraction form
    957.77/1,321.56 = 643.55/x
  3. Step 3: Cross multiply
    957.77x = 1,321.56 × 643.55
  4. Step 4: Simplify right side
    957.77x = 850,489.94
  5. Step 5: Solve for x
    x = 850,489.94/957.77
  6. Step 6: Final answer
    x = 887.99

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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.