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Finding the Fourth Proportional to 1,109.84, 1,664.20 and 416.48

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Solution

The fourth proportional to 1,109.84, 1,664.20 and 416.48 is: 624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.84 : 1,664.20 = 416.48 : x
  2. Step 2: Convert to fraction form
    1,109.84/1,664.20 = 416.48/x
  3. Step 3: Cross multiply
    1,109.84x = 1,664.20 × 416.48
  4. Step 4: Simplify right side
    1,109.84x = 693,106.02
  5. Step 5: Solve for x
    x = 693,106.02/1,109.84
  6. Step 6: Final answer
    x = 624.51

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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.