Home / 1,162.14-1,743.21-577.02

Finding the Fourth Proportional to 1,162.14, 1,743.21 and 577.02

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Solution

The fourth proportional to 1,162.14, 1,743.21 and 577.02 is: 865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.14 : 1,743.21 = 577.02 : x
  2. Step 2: Convert to fraction form
    1,162.14/1,743.21 = 577.02/x
  3. Step 3: Cross multiply
    1,162.14x = 1,743.21 × 577.02
  4. Step 4: Simplify right side
    1,162.14x = 1,005,867.03
  5. Step 5: Solve for x
    x = 1,005,867.03/1,162.14
  6. Step 6: Final answer
    x = 865.53

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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.