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Finding the Fourth Proportional to 852.50, 1,279.78 and 577.76

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Solution

The fourth proportional to 852.50, 1,279.78 and 577.76 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.50 : 1,279.78 = 577.76 : x
  2. Step 2: Convert to fraction form
    852.50/1,279.78 = 577.76/x
  3. Step 3: Cross multiply
    852.50x = 1,279.78 × 577.76
  4. Step 4: Simplify right side
    852.50x = 739,407.29
  5. Step 5: Solve for x
    x = 739,407.29/852.50
  6. Step 6: Final answer
    x = 867.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.