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Finding the Fourth Proportional to 1,029.09, 1,540.22 and 784.23

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Solution

The fourth proportional to 1,029.09, 1,540.22 and 784.23 is: 1,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.09 : 1,540.22 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,029.09/1,540.22 = 784.23/x
  3. Step 3: Cross multiply
    1,029.09x = 1,540.22 × 784.23
  4. Step 4: Simplify right side
    1,029.09x = 1,207,882.81
  5. Step 5: Solve for x
    x = 1,207,882.81/1,029.09
  6. Step 6: Final answer
    x = 1,173.74

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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.