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Finding the Fourth Proportional to 1,433.65, 1,978.20 and 962.33

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Solution

The fourth proportional to 1,433.65, 1,978.20 and 962.33 is: 1,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.65 : 1,978.20 = 962.33 : x
  2. Step 2: Convert to fraction form
    1,433.65/1,978.20 = 962.33/x
  3. Step 3: Cross multiply
    1,433.65x = 1,978.20 × 962.33
  4. Step 4: Simplify right side
    1,433.65x = 1,903,679.74
  5. Step 5: Solve for x
    x = 1,903,679.74/1,433.65
  6. Step 6: Final answer
    x = 1,327.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.