Home / 1,111.12-1,664.96-461.44

Finding the Fourth Proportional to 1,111.12, 1,664.96 and 461.44

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Solution

The fourth proportional to 1,111.12, 1,664.96 and 461.44 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.12 : 1,664.96 = 461.44 : x
  2. Step 2: Convert to fraction form
    1,111.12/1,664.96 = 461.44/x
  3. Step 3: Cross multiply
    1,111.12x = 1,664.96 × 461.44
  4. Step 4: Simplify right side
    1,111.12x = 768,279.14
  5. Step 5: Solve for x
    x = 768,279.14/1,111.12
  6. Step 6: Final answer
    x = 691.45

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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.