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Finding the Fourth Proportional to 1,109.90, 1,664.94 and 460.82

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Solution

The fourth proportional to 1,109.90, 1,664.94 and 460.82 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,664.94 = 460.82 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,664.94 = 460.82/x
  3. Step 3: Cross multiply
    1,109.90x = 1,664.94 × 460.82
  4. Step 4: Simplify right side
    1,109.90x = 767,237.65
  5. Step 5: Solve for x
    x = 767,237.65/1,109.90
  6. Step 6: Final answer
    x = 691.27

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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.