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Finding the Fourth Proportional to 955.43, 1,433.61 and 468.22

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Solution

The fourth proportional to 955.43, 1,433.61 and 468.22 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.43 : 1,433.61 = 468.22 : x
  2. Step 2: Convert to fraction form
    955.43/1,433.61 = 468.22/x
  3. Step 3: Cross multiply
    955.43x = 1,433.61 × 468.22
  4. Step 4: Simplify right side
    955.43x = 671,244.87
  5. Step 5: Solve for x
    x = 671,244.87/955.43
  6. Step 6: Final answer
    x = 702.56

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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.