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Finding the Fourth Proportional to 1,026.70, 1,540.26 and 296.29

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Solution

The fourth proportional to 1,026.70, 1,540.26 and 296.29 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,540.26 = 296.29 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,540.26 = 296.29/x
  3. Step 3: Cross multiply
    1,026.70x = 1,540.26 × 296.29
  4. Step 4: Simplify right side
    1,026.70x = 456,354.45
  5. Step 5: Solve for x
    x = 456,354.45/1,026.70
  6. Step 6: Final answer
    x = 444.49

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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.