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Finding the Fourth Proportional to 965.91, 1,448.80 and 472.13

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Solution

The fourth proportional to 965.91, 1,448.80 and 472.13 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.91 : 1,448.80 = 472.13 : x
  2. Step 2: Convert to fraction form
    965.91/1,448.80 = 472.13/x
  3. Step 3: Cross multiply
    965.91x = 1,448.80 × 472.13
  4. Step 4: Simplify right side
    965.91x = 684,015.88
  5. Step 5: Solve for x
    x = 684,015.88/965.91
  6. Step 6: Final answer
    x = 708.16

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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.