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Finding the Fourth Proportional to 955.09, 1,431.71 and 467.88

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Solution

The fourth proportional to 955.09, 1,431.71 and 467.88 is: 701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.09 : 1,431.71 = 467.88 : x
  2. Step 2: Convert to fraction form
    955.09/1,431.71 = 467.88/x
  3. Step 3: Cross multiply
    955.09x = 1,431.71 × 467.88
  4. Step 4: Simplify right side
    955.09x = 669,862.52
  5. Step 5: Solve for x
    x = 669,862.52/955.09
  6. Step 6: Final answer
    x = 701.36

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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.