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Finding the Fourth Proportional to 852.20, 1,278.30 and 715.52

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Solution

The fourth proportional to 852.20, 1,278.30 and 715.52 is: 1,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.20 : 1,278.30 = 715.52 : x
  2. Step 2: Convert to fraction form
    852.20/1,278.30 = 715.52/x
  3. Step 3: Cross multiply
    852.20x = 1,278.30 × 715.52
  4. Step 4: Simplify right side
    852.20x = 914,649.22
  5. Step 5: Solve for x
    x = 914,649.22/852.20
  6. Step 6: Final answer
    x = 1,073.28

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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.