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Finding the Fourth Proportional to 1,540.71, 2,310.77 and 663.36

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Solution

The fourth proportional to 1,540.71, 2,310.77 and 663.36 is: 994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.71 : 2,310.77 = 663.36 : x
  2. Step 2: Convert to fraction form
    1,540.71/2,310.77 = 663.36/x
  3. Step 3: Cross multiply
    1,540.71x = 2,310.77 × 663.36
  4. Step 4: Simplify right side
    1,540.71x = 1,532,869.07
  5. Step 5: Solve for x
    x = 1,532,869.07/1,540.71
  6. Step 6: Final answer
    x = 994.91

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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.