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Finding the Fourth Proportional to 852.94, 1,177.06 and 479.93

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Solution

The fourth proportional to 852.94, 1,177.06 and 479.93 is: 662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,177.06 = 479.93 : x
  2. Step 2: Convert to fraction form
    852.94/1,177.06 = 479.93/x
  3. Step 3: Cross multiply
    852.94x = 1,177.06 × 479.93
  4. Step 4: Simplify right side
    852.94x = 564,902.37
  5. Step 5: Solve for x
    x = 564,902.37/852.94
  6. Step 6: Final answer
    x = 662.30

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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.