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Finding the Fourth Proportional to 1,109.74, 1,664.60 and 460.52

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Solution

The fourth proportional to 1,109.74, 1,664.60 and 460.52 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.74 : 1,664.60 = 460.52 : x
  2. Step 2: Convert to fraction form
    1,109.74/1,664.60 = 460.52/x
  3. Step 3: Cross multiply
    1,109.74x = 1,664.60 × 460.52
  4. Step 4: Simplify right side
    1,109.74x = 766,581.59
  5. Step 5: Solve for x
    x = 766,581.59/1,109.74
  6. Step 6: Final answer
    x = 690.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.