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Finding the Fourth Proportional to 1,026.74, 1,540.38 and 296.37

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Solution

The fourth proportional to 1,026.74, 1,540.38 and 296.37 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.74 : 1,540.38 = 296.37 : x
  2. Step 2: Convert to fraction form
    1,026.74/1,540.38 = 296.37/x
  3. Step 3: Cross multiply
    1,026.74x = 1,540.38 × 296.37
  4. Step 4: Simplify right side
    1,026.74x = 456,522.42
  5. Step 5: Solve for x
    x = 456,522.42/1,026.74
  6. Step 6: Final answer
    x = 444.63

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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.