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Finding the Fourth Proportional to 852.68, 1,176.36 and 521.22

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Solution

The fourth proportional to 852.68, 1,176.36 and 521.22 is: 719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.68 : 1,176.36 = 521.22 : x
  2. Step 2: Convert to fraction form
    852.68/1,176.36 = 521.22/x
  3. Step 3: Cross multiply
    852.68x = 1,176.36 × 521.22
  4. Step 4: Simplify right side
    852.68x = 613,142.36
  5. Step 5: Solve for x
    x = 613,142.36/852.68
  6. Step 6: Final answer
    x = 719.08

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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.