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Finding the Fourth Proportional to 952.64, 1,427.58 and 465.14

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Solution

The fourth proportional to 952.64, 1,427.58 and 465.14 is: 697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,427.58 = 465.14 : x
  2. Step 2: Convert to fraction form
    952.64/1,427.58 = 465.14/x
  3. Step 3: Cross multiply
    952.64x = 1,427.58 × 465.14
  4. Step 4: Simplify right side
    952.64x = 664,024.56
  5. Step 5: Solve for x
    x = 664,024.56/952.64
  6. Step 6: Final answer
    x = 697.04

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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.