Home / 1,288.16-1,930.86-824.48

Finding the Fourth Proportional to 1,288.16, 1,930.86 and 824.48

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Solution

The fourth proportional to 1,288.16, 1,930.86 and 824.48 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.16 : 1,930.86 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,288.16/1,930.86 = 824.48/x
  3. Step 3: Cross multiply
    1,288.16x = 1,930.86 × 824.48
  4. Step 4: Simplify right side
    1,288.16x = 1,591,955.45
  5. Step 5: Solve for x
    x = 1,591,955.45/1,288.16
  6. Step 6: Final answer
    x = 1,235.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.