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Finding the Fourth Proportional to 1,026.83, 1,540.28 and 784.85

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Solution

The fourth proportional to 1,026.83, 1,540.28 and 784.85 is: 1,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.83 : 1,540.28 = 784.85 : x
  2. Step 2: Convert to fraction form
    1,026.83/1,540.28 = 784.85/x
  3. Step 3: Cross multiply
    1,026.83x = 1,540.28 × 784.85
  4. Step 4: Simplify right side
    1,026.83x = 1,208,883.02
  5. Step 5: Solve for x
    x = 1,208,883.02/1,026.83
  6. Step 6: Final answer
    x = 1,177.29

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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.