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Finding the Fourth Proportional to 1,287.37, 1,930.48 and 546.95

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Solution

The fourth proportional to 1,287.37, 1,930.48 and 546.95 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.37 : 1,930.48 = 546.95 : x
  2. Step 2: Convert to fraction form
    1,287.37/1,930.48 = 546.95/x
  3. Step 3: Cross multiply
    1,287.37x = 1,930.48 × 546.95
  4. Step 4: Simplify right side
    1,287.37x = 1,055,882.36
  5. Step 5: Solve for x
    x = 1,055,882.36/1,287.37
  6. Step 6: Final answer
    x = 820.18

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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.