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Finding the Fourth Proportional to 1,273.61, 1,910.64 and 452.36

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Solution

The fourth proportional to 1,273.61, 1,910.64 and 452.36 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.61 : 1,910.64 = 452.36 : x
  2. Step 2: Convert to fraction form
    1,273.61/1,910.64 = 452.36/x
  3. Step 3: Cross multiply
    1,273.61x = 1,910.64 × 452.36
  4. Step 4: Simplify right side
    1,273.61x = 864,297.11
  5. Step 5: Solve for x
    x = 864,297.11/1,273.61
  6. Step 6: Final answer
    x = 678.62

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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.