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Finding the Fourth Proportional to 952.98, 1,315.09 and 533.37

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Solution

The fourth proportional to 952.98, 1,315.09 and 533.37 is: 736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.98 : 1,315.09 = 533.37 : x
  2. Step 2: Convert to fraction form
    952.98/1,315.09 = 533.37/x
  3. Step 3: Cross multiply
    952.98x = 1,315.09 × 533.37
  4. Step 4: Simplify right side
    952.98x = 701,429.55
  5. Step 5: Solve for x
    x = 701,429.55/952.98
  6. Step 6: Final answer
    x = 736.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.