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Finding the Fourth Proportional to 852.52, 1,177.23 and 538.35

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Solution

The fourth proportional to 852.52, 1,177.23 and 538.35 is: 743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.52 : 1,177.23 = 538.35 : x
  2. Step 2: Convert to fraction form
    852.52/1,177.23 = 538.35/x
  3. Step 3: Cross multiply
    852.52x = 1,177.23 × 538.35
  4. Step 4: Simplify right side
    852.52x = 633,761.77
  5. Step 5: Solve for x
    x = 633,761.77/852.52
  6. Step 6: Final answer
    x = 743.40

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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.