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Finding the Fourth Proportional to 1,110, 1,664.38 and 460.59

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Solution

The fourth proportional to 1,110, 1,664.38 and 460.59 is: 690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110 : 1,664.38 = 460.59 : x
  2. Step 2: Convert to fraction form
    1,110/1,664.38 = 460.59/x
  3. Step 3: Cross multiply
    1,110x = 1,664.38 × 460.59
  4. Step 4: Simplify right side
    1,110x = 766,596.78
  5. Step 5: Solve for x
    x = 766,596.78/1,110
  6. Step 6: Final answer
    x = 690.63

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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.