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Finding the Fourth Proportional to 1,276.16, 1,913.99 and 351.49

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Solution

The fourth proportional to 1,276.16, 1,913.99 and 351.49 is: 527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.16 : 1,913.99 = 351.49 : x
  2. Step 2: Convert to fraction form
    1,276.16/1,913.99 = 351.49/x
  3. Step 3: Cross multiply
    1,276.16x = 1,913.99 × 351.49
  4. Step 4: Simplify right side
    1,276.16x = 672,738.78
  5. Step 5: Solve for x
    x = 672,738.78/1,276.16
  6. Step 6: Final answer
    x = 527.16

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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.