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Finding the Fourth Proportional to 964.68, 1,448.03 and 532.14

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Solution

The fourth proportional to 964.68, 1,448.03 and 532.14 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.68 : 1,448.03 = 532.14 : x
  2. Step 2: Convert to fraction form
    964.68/1,448.03 = 532.14/x
  3. Step 3: Cross multiply
    964.68x = 1,448.03 × 532.14
  4. Step 4: Simplify right side
    964.68x = 770,556.01
  5. Step 5: Solve for x
    x = 770,556.01/964.68
  6. Step 6: Final answer
    x = 798.77

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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.