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Finding the Fourth Proportional to 1,109.77, 1,664.87 and 460.49

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Solution

The fourth proportional to 1,109.77, 1,664.87 and 460.49 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.77 : 1,664.87 = 460.49 : x
  2. Step 2: Convert to fraction form
    1,109.77/1,664.87 = 460.49/x
  3. Step 3: Cross multiply
    1,109.77x = 1,664.87 × 460.49
  4. Step 4: Simplify right side
    1,109.77x = 766,645.36
  5. Step 5: Solve for x
    x = 766,645.36/1,109.77
  6. Step 6: Final answer
    x = 690.82

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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.