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Finding the Fourth Proportional to 1,490.82, 2,235.12 and 905.96

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Solution

The fourth proportional to 1,490.82, 2,235.12 and 905.96 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.82 : 2,235.12 = 905.96 : x
  2. Step 2: Convert to fraction form
    1,490.82/2,235.12 = 905.96/x
  3. Step 3: Cross multiply
    1,490.82x = 2,235.12 × 905.96
  4. Step 4: Simplify right side
    1,490.82x = 2,024,929.32
  5. Step 5: Solve for x
    x = 2,024,929.32/1,490.82
  6. Step 6: Final answer
    x = 1,358.27

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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.