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Finding the Fourth Proportional to 955.26, 1,431.02 and 543.16

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Solution

The fourth proportional to 955.26, 1,431.02 and 543.16 is: 813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.26 : 1,431.02 = 543.16 : x
  2. Step 2: Convert to fraction form
    955.26/1,431.02 = 543.16/x
  3. Step 3: Cross multiply
    955.26x = 1,431.02 × 543.16
  4. Step 4: Simplify right side
    955.26x = 777,272.82
  5. Step 5: Solve for x
    x = 777,272.82/955.26
  6. Step 6: Final answer
    x = 813.68

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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.