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Finding the Fourth Proportional to 953.60, 1,427.97 and 465.38

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Solution

The fourth proportional to 953.60, 1,427.97 and 465.38 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.60 : 1,427.97 = 465.38 : x
  2. Step 2: Convert to fraction form
    953.60/1,427.97 = 465.38/x
  3. Step 3: Cross multiply
    953.60x = 1,427.97 × 465.38
  4. Step 4: Simplify right side
    953.60x = 664,543.28
  5. Step 5: Solve for x
    x = 664,543.28/953.60
  6. Step 6: Final answer
    x = 696.88

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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.