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Finding the Fourth Proportional to 1,109.86, 1,664.44 and 460.46

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Solution

The fourth proportional to 1,109.86, 1,664.44 and 460.46 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.86 : 1,664.44 = 460.46 : x
  2. Step 2: Convert to fraction form
    1,109.86/1,664.44 = 460.46/x
  3. Step 3: Cross multiply
    1,109.86x = 1,664.44 × 460.46
  4. Step 4: Simplify right side
    1,109.86x = 766,408.04
  5. Step 5: Solve for x
    x = 766,408.04/1,109.86
  6. Step 6: Final answer
    x = 690.54

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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.