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Finding the Fourth Proportional to 952.99, 1,315.22 and 554.77

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Solution

The fourth proportional to 952.99, 1,315.22 and 554.77 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.99 : 1,315.22 = 554.77 : x
  2. Step 2: Convert to fraction form
    952.99/1,315.22 = 554.77/x
  3. Step 3: Cross multiply
    952.99x = 1,315.22 × 554.77
  4. Step 4: Simplify right side
    952.99x = 729,644.60
  5. Step 5: Solve for x
    x = 729,644.60/952.99
  6. Step 6: Final answer
    x = 765.64

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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.