Home / 1,111.24-1,533.30-761.80

Finding the Fourth Proportional to 1,111.24, 1,533.30 and 761.80

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Solution

The fourth proportional to 1,111.24, 1,533.30 and 761.80 is: 1,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.24 : 1,533.30 = 761.80 : x
  2. Step 2: Convert to fraction form
    1,111.24/1,533.30 = 761.80/x
  3. Step 3: Cross multiply
    1,111.24x = 1,533.30 × 761.80
  4. Step 4: Simplify right side
    1,111.24x = 1,168,067.94
  5. Step 5: Solve for x
    x = 1,168,067.94/1,111.24
  6. Step 6: Final answer
    x = 1,051.14

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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.