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Finding the Fourth Proportional to 1,274.56, 1,911.47 and 452.71

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Solution

The fourth proportional to 1,274.56, 1,911.47 and 452.71 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.56 : 1,911.47 = 452.71 : x
  2. Step 2: Convert to fraction form
    1,274.56/1,911.47 = 452.71/x
  3. Step 3: Cross multiply
    1,274.56x = 1,911.47 × 452.71
  4. Step 4: Simplify right side
    1,274.56x = 865,341.71
  5. Step 5: Solve for x
    x = 865,341.71/1,274.56
  6. Step 6: Final answer
    x = 678.94

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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.