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Finding the Fourth Proportional to 1,276.71, 1,914.65 and 496.66

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Solution

The fourth proportional to 1,276.71, 1,914.65 and 496.66 is: 744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.71 : 1,914.65 = 496.66 : x
  2. Step 2: Convert to fraction form
    1,276.71/1,914.65 = 496.66/x
  3. Step 3: Cross multiply
    1,276.71x = 1,914.65 × 496.66
  4. Step 4: Simplify right side
    1,276.71x = 950,920.50
  5. Step 5: Solve for x
    x = 950,920.50/1,276.71
  6. Step 6: Final answer
    x = 744.82

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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.