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Finding the Fourth Proportional to 965.93, 1,448.89 and 601.43

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Solution

The fourth proportional to 965.93, 1,448.89 and 601.43 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.93 : 1,448.89 = 601.43 : x
  2. Step 2: Convert to fraction form
    965.93/1,448.89 = 601.43/x
  3. Step 3: Cross multiply
    965.93x = 1,448.89 × 601.43
  4. Step 4: Simplify right side
    965.93x = 871,397.16
  5. Step 5: Solve for x
    x = 871,397.16/965.93
  6. Step 6: Final answer
    x = 902.14

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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.