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Finding the Fourth Proportional to 1,109.83, 1,664.80 and 416.68

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Solution

The fourth proportional to 1,109.83, 1,664.80 and 416.68 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.83 : 1,664.80 = 416.68 : x
  2. Step 2: Convert to fraction form
    1,109.83/1,664.80 = 416.68/x
  3. Step 3: Cross multiply
    1,109.83x = 1,664.80 × 416.68
  4. Step 4: Simplify right side
    1,109.83x = 693,688.86
  5. Step 5: Solve for x
    x = 693,688.86/1,109.83
  6. Step 6: Final answer
    x = 625.04

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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.