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Finding the Fourth Proportional to 852.40, 1,275.90 and 825.40

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Solution

The fourth proportional to 852.40, 1,275.90 and 825.40 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,275.90 = 825.40 : x
  2. Step 2: Convert to fraction form
    852.40/1,275.90 = 825.40/x
  3. Step 3: Cross multiply
    852.40x = 1,275.90 × 825.40
  4. Step 4: Simplify right side
    852.40x = 1,053,127.86
  5. Step 5: Solve for x
    x = 1,053,127.86/852.40
  6. Step 6: Final answer
    x = 1,235.49

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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.