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Finding the Fourth Proportional to 965.98, 1,448.97 and 761.63

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Solution

The fourth proportional to 965.98, 1,448.97 and 761.63 is: 1,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,448.97 = 761.63 : x
  2. Step 2: Convert to fraction form
    965.98/1,448.97 = 761.63/x
  3. Step 3: Cross multiply
    965.98x = 1,448.97 × 761.63
  4. Step 4: Simplify right side
    965.98x = 1,103,579.02
  5. Step 5: Solve for x
    x = 1,103,579.02/965.98
  6. Step 6: Final answer
    x = 1,142.45

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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.