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Finding the Fourth Proportional to 965.86, 1,448.03 and 479.25

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Solution

The fourth proportional to 965.86, 1,448.03 and 479.25 is: 718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.86 : 1,448.03 = 479.25 : x
  2. Step 2: Convert to fraction form
    965.86/1,448.03 = 479.25/x
  3. Step 3: Cross multiply
    965.86x = 1,448.03 × 479.25
  4. Step 4: Simplify right side
    965.86x = 693,969.58
  5. Step 5: Solve for x
    x = 693,969.58/965.86
  6. Step 6: Final answer
    x = 718.50

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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.