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Finding the Fourth Proportional to 965.64, 1,448.13 and 316.22

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Solution

The fourth proportional to 965.64, 1,448.13 and 316.22 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.64 : 1,448.13 = 316.22 : x
  2. Step 2: Convert to fraction form
    965.64/1,448.13 = 316.22/x
  3. Step 3: Cross multiply
    965.64x = 1,448.13 × 316.22
  4. Step 4: Simplify right side
    965.64x = 457,920.43
  5. Step 5: Solve for x
    x = 457,920.43/965.64
  6. Step 6: Final answer
    x = 474.21

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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.