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Finding the Fourth Proportional to 950.97, 1,427.01 and 431.01

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Solution

The fourth proportional to 950.97, 1,427.01 and 431.01 is: 646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.97 : 1,427.01 = 431.01 : x
  2. Step 2: Convert to fraction form
    950.97/1,427.01 = 431.01/x
  3. Step 3: Cross multiply
    950.97x = 1,427.01 × 431.01
  4. Step 4: Simplify right side
    950.97x = 615,055.58
  5. Step 5: Solve for x
    x = 615,055.58/950.97
  6. Step 6: Final answer
    x = 646.77

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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.