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Finding the Fourth Proportional to 957.12, 1,436 and 633.76

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Solution

The fourth proportional to 957.12, 1,436 and 633.76 is: 950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,436 = 633.76 : x
  2. Step 2: Convert to fraction form
    957.12/1,436 = 633.76/x
  3. Step 3: Cross multiply
    957.12x = 1,436 × 633.76
  4. Step 4: Simplify right side
    957.12x = 910,079.36
  5. Step 5: Solve for x
    x = 910,079.36/957.12
  6. Step 6: Final answer
    x = 950.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.