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Finding the Fourth Proportional to 952.53, 1,429.20 and 465.59

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Solution

The fourth proportional to 952.53, 1,429.20 and 465.59 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.53 : 1,429.20 = 465.59 : x
  2. Step 2: Convert to fraction form
    952.53/1,429.20 = 465.59/x
  3. Step 3: Cross multiply
    952.53x = 1,429.20 × 465.59
  4. Step 4: Simplify right side
    952.53x = 665,421.23
  5. Step 5: Solve for x
    x = 665,421.23/952.53
  6. Step 6: Final answer
    x = 698.58

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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.