Home / 1,116.51-1,541.12-822.62

Finding the Fourth Proportional to 1,116.51, 1,541.12 and 822.62

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Solution

The fourth proportional to 1,116.51, 1,541.12 and 822.62 is: 1,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.51 : 1,541.12 = 822.62 : x
  2. Step 2: Convert to fraction form
    1,116.51/1,541.12 = 822.62/x
  3. Step 3: Cross multiply
    1,116.51x = 1,541.12 × 822.62
  4. Step 4: Simplify right side
    1,116.51x = 1,267,755.87
  5. Step 5: Solve for x
    x = 1,267,755.87/1,116.51
  6. Step 6: Final answer
    x = 1,135.47

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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.