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Finding the Fourth Proportional to 952.90, 1,429.11 and 459.30

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Solution

The fourth proportional to 952.90, 1,429.11 and 459.30 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.90 : 1,429.11 = 459.30 : x
  2. Step 2: Convert to fraction form
    952.90/1,429.11 = 459.30/x
  3. Step 3: Cross multiply
    952.90x = 1,429.11 × 459.30
  4. Step 4: Simplify right side
    952.90x = 656,395.58
  5. Step 5: Solve for x
    x = 656,395.58/952.90
  6. Step 6: Final answer
    x = 688.84

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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.