Home / 1,116.36-1,538.96-783.75

Finding the Fourth Proportional to 1,116.36, 1,538.96 and 783.75

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Solution

The fourth proportional to 1,116.36, 1,538.96 and 783.75 is: 1,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.36 : 1,538.96 = 783.75 : x
  2. Step 2: Convert to fraction form
    1,116.36/1,538.96 = 783.75/x
  3. Step 3: Cross multiply
    1,116.36x = 1,538.96 × 783.75
  4. Step 4: Simplify right side
    1,116.36x = 1,206,159.90
  5. Step 5: Solve for x
    x = 1,206,159.90/1,116.36
  6. Step 6: Final answer
    x = 1,080.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.