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Finding the Fourth Proportional to 852.83, 1,176.83 and 479.77

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Solution

The fourth proportional to 852.83, 1,176.83 and 479.77 is: 662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.83 : 1,176.83 = 479.77 : x
  2. Step 2: Convert to fraction form
    852.83/1,176.83 = 479.77/x
  3. Step 3: Cross multiply
    852.83x = 1,176.83 × 479.77
  4. Step 4: Simplify right side
    852.83x = 564,610.81
  5. Step 5: Solve for x
    x = 564,610.81/852.83
  6. Step 6: Final answer
    x = 662.04

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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.