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Finding the Fourth Proportional to 1,026.97, 1,540.53 and 296.55

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Solution

The fourth proportional to 1,026.97, 1,540.53 and 296.55 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.97 : 1,540.53 = 296.55 : x
  2. Step 2: Convert to fraction form
    1,026.97/1,540.53 = 296.55/x
  3. Step 3: Cross multiply
    1,026.97x = 1,540.53 × 296.55
  4. Step 4: Simplify right side
    1,026.97x = 456,844.17
  5. Step 5: Solve for x
    x = 456,844.17/1,026.97
  6. Step 6: Final answer
    x = 444.85

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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.