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Finding the Fourth Proportional to 1,109.62, 1,664.43 and 621.46

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Solution

The fourth proportional to 1,109.62, 1,664.43 and 621.46 is: 932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,664.43 = 621.46 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,664.43 = 621.46/x
  3. Step 3: Cross multiply
    1,109.62x = 1,664.43 × 621.46
  4. Step 4: Simplify right side
    1,109.62x = 1,034,376.67
  5. Step 5: Solve for x
    x = 1,034,376.67/1,109.62
  6. Step 6: Final answer
    x = 932.19

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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.