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Finding the Fourth Proportional to 852.80, 1,176.81 and 479.79

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Solution

The fourth proportional to 852.80, 1,176.81 and 479.79 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.80 : 1,176.81 = 479.79 : x
  2. Step 2: Convert to fraction form
    852.80/1,176.81 = 479.79/x
  3. Step 3: Cross multiply
    852.80x = 1,176.81 × 479.79
  4. Step 4: Simplify right side
    852.80x = 564,621.67
  5. Step 5: Solve for x
    x = 564,621.67/852.80
  6. Step 6: Final answer
    x = 662.08

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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.