Home / 1,221.24-1,827.60-999.30

Finding the Fourth Proportional to 1,221.24, 1,827.60 and 999.30

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Solution

The fourth proportional to 1,221.24, 1,827.60 and 999.30 is: 1,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,827.60 = 999.30 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,827.60 = 999.30/x
  3. Step 3: Cross multiply
    1,221.24x = 1,827.60 × 999.30
  4. Step 4: Simplify right side
    1,221.24x = 1,826,320.68
  5. Step 5: Solve for x
    x = 1,826,320.68/1,221.24
  6. Step 6: Final answer
    x = 1,495.46

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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.