Home / 1,151.09-1,584.37-962.50

Finding the Fourth Proportional to 1,151.09, 1,584.37 and 962.50

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Solution

The fourth proportional to 1,151.09, 1,584.37 and 962.50 is: 1,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.09 : 1,584.37 = 962.50 : x
  2. Step 2: Convert to fraction form
    1,151.09/1,584.37 = 962.50/x
  3. Step 3: Cross multiply
    1,151.09x = 1,584.37 × 962.50
  4. Step 4: Simplify right side
    1,151.09x = 1,524,956.13
  5. Step 5: Solve for x
    x = 1,524,956.13/1,151.09
  6. Step 6: Final answer
    x = 1,324.79

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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.