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Finding the Fourth Proportional to 965.80, 1,448.34 and 503.38

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Solution

The fourth proportional to 965.80, 1,448.34 and 503.38 is: 754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.80 : 1,448.34 = 503.38 : x
  2. Step 2: Convert to fraction form
    965.80/1,448.34 = 503.38/x
  3. Step 3: Cross multiply
    965.80x = 1,448.34 × 503.38
  4. Step 4: Simplify right side
    965.80x = 729,065.39
  5. Step 5: Solve for x
    x = 729,065.39/965.80
  6. Step 6: Final answer
    x = 754.88

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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.