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Finding the Fourth Proportional to 1,490.73, 2,234.41 and 700.47

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Solution

The fourth proportional to 1,490.73, 2,234.41 and 700.47 is: 1,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.73 : 2,234.41 = 700.47 : x
  2. Step 2: Convert to fraction form
    1,490.73/2,234.41 = 700.47/x
  3. Step 3: Cross multiply
    1,490.73x = 2,234.41 × 700.47
  4. Step 4: Simplify right side
    1,490.73x = 1,565,137.17
  5. Step 5: Solve for x
    x = 1,565,137.17/1,490.73
  6. Step 6: Final answer
    x = 1,049.91

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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.