Home / 1,131.12-1,695.24-977.04

Finding the Fourth Proportional to 1,131.12, 1,695.24 and 977.04

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Solution

The fourth proportional to 1,131.12, 1,695.24 and 977.04 is: 1,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.12 : 1,695.24 = 977.04 : x
  2. Step 2: Convert to fraction form
    1,131.12/1,695.24 = 977.04/x
  3. Step 3: Cross multiply
    1,131.12x = 1,695.24 × 977.04
  4. Step 4: Simplify right side
    1,131.12x = 1,656,317.29
  5. Step 5: Solve for x
    x = 1,656,317.29/1,131.12
  6. Step 6: Final answer
    x = 1,464.32

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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.