Home / 1,221.12-1,829.12-537.60

Finding the Fourth Proportional to 1,221.12, 1,829.12 and 537.60

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Solution

The fourth proportional to 1,221.12, 1,829.12 and 537.60 is: 805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.12 : 1,829.12 = 537.60 : x
  2. Step 2: Convert to fraction form
    1,221.12/1,829.12 = 537.60/x
  3. Step 3: Cross multiply
    1,221.12x = 1,829.12 × 537.60
  4. Step 4: Simplify right side
    1,221.12x = 983,334.91
  5. Step 5: Solve for x
    x = 983,334.91/1,221.12
  6. Step 6: Final answer
    x = 805.27

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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.