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Finding the Fourth Proportional to 957.48, 1,433.76 and 631.84

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Solution

The fourth proportional to 957.48, 1,433.76 and 631.84 is: 946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.48 : 1,433.76 = 631.84 : x
  2. Step 2: Convert to fraction form
    957.48/1,433.76 = 631.84/x
  3. Step 3: Cross multiply
    957.48x = 1,433.76 × 631.84
  4. Step 4: Simplify right side
    957.48x = 905,906.92
  5. Step 5: Solve for x
    x = 905,906.92/957.48
  6. Step 6: Final answer
    x = 946.14

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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.