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Finding the Fourth Proportional to 952.04, 1,427.07 and 464.48

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Solution

The fourth proportional to 952.04, 1,427.07 and 464.48 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.04 : 1,427.07 = 464.48 : x
  2. Step 2: Convert to fraction form
    952.04/1,427.07 = 464.48/x
  3. Step 3: Cross multiply
    952.04x = 1,427.07 × 464.48
  4. Step 4: Simplify right side
    952.04x = 662,845.47
  5. Step 5: Solve for x
    x = 662,845.47/952.04
  6. Step 6: Final answer
    x = 696.24

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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.