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Finding the Fourth Proportional to 852.94, 1,176.71 and 538.09

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Solution

The fourth proportional to 852.94, 1,176.71 and 538.09 is: 742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,176.71 = 538.09 : x
  2. Step 2: Convert to fraction form
    852.94/1,176.71 = 538.09/x
  3. Step 3: Cross multiply
    852.94x = 1,176.71 × 538.09
  4. Step 4: Simplify right side
    852.94x = 633,174.29
  5. Step 5: Solve for x
    x = 633,174.29/852.94
  6. Step 6: Final answer
    x = 742.35

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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.