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Finding the Fourth Proportional to 1,274.03, 1,910.39 and 452.18

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Solution

The fourth proportional to 1,274.03, 1,910.39 and 452.18 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.03 : 1,910.39 = 452.18 : x
  2. Step 2: Convert to fraction form
    1,274.03/1,910.39 = 452.18/x
  3. Step 3: Cross multiply
    1,274.03x = 1,910.39 × 452.18
  4. Step 4: Simplify right side
    1,274.03x = 863,828.34
  5. Step 5: Solve for x
    x = 863,828.34/1,274.03
  6. Step 6: Final answer
    x = 678.03

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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.