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Finding the Fourth Proportional to 852.99, 1,177.16 and 480.03

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Solution

The fourth proportional to 852.99, 1,177.16 and 480.03 is: 662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.99 : 1,177.16 = 480.03 : x
  2. Step 2: Convert to fraction form
    852.99/1,177.16 = 480.03/x
  3. Step 3: Cross multiply
    852.99x = 1,177.16 × 480.03
  4. Step 4: Simplify right side
    852.99x = 565,069.71
  5. Step 5: Solve for x
    x = 565,069.71/852.99
  6. Step 6: Final answer
    x = 662.46

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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.