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Finding the Fourth Proportional to 1,274.16, 1,910.70 and 452.64

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Solution

The fourth proportional to 1,274.16, 1,910.70 and 452.64 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.16 : 1,910.70 = 452.64 : x
  2. Step 2: Convert to fraction form
    1,274.16/1,910.70 = 452.64/x
  3. Step 3: Cross multiply
    1,274.16x = 1,910.70 × 452.64
  4. Step 4: Simplify right side
    1,274.16x = 864,859.25
  5. Step 5: Solve for x
    x = 864,859.25/1,274.16
  6. Step 6: Final answer
    x = 678.77

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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.