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Finding the Fourth Proportional to 964.97, 1,448.00 and 957.14

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Solution

The fourth proportional to 964.97, 1,448.00 and 957.14 is: 1,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.97 : 1,448.00 = 957.14 : x
  2. Step 2: Convert to fraction form
    964.97/1,448.00 = 957.14/x
  3. Step 3: Cross multiply
    964.97x = 1,448.00 × 957.14
  4. Step 4: Simplify right side
    964.97x = 1,385,926.69
  5. Step 5: Solve for x
    x = 1,385,926.69/964.97
  6. Step 6: Final answer
    x = 1,436.25

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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.