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Finding the Fourth Proportional to 852.90, 1,176.84 and 538.21

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Solution

The fourth proportional to 852.90, 1,176.84 and 538.21 is: 742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.90 : 1,176.84 = 538.21 : x
  2. Step 2: Convert to fraction form
    852.90/1,176.84 = 538.21/x
  3. Step 3: Cross multiply
    852.90x = 1,176.84 × 538.21
  4. Step 4: Simplify right side
    852.90x = 633,387.06
  5. Step 5: Solve for x
    x = 633,387.06/852.90
  6. Step 6: Final answer
    x = 742.63

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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.