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Finding the Fourth Proportional to 852.92, 1,176.77 and 521.00

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Solution

The fourth proportional to 852.92, 1,176.77 and 521.00 is: 718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.92 : 1,176.77 = 521.00 : x
  2. Step 2: Convert to fraction form
    852.92/1,176.77 = 521.00/x
  3. Step 3: Cross multiply
    852.92x = 1,176.77 × 521.00
  4. Step 4: Simplify right side
    852.92x = 613,092.59
  5. Step 5: Solve for x
    x = 613,092.59/852.92
  6. Step 6: Final answer
    x = 718.81

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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.