Home / 1,214.04-1,675.20-822.24

Finding the Fourth Proportional to 1,214.04, 1,675.20 and 822.24

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Solution

The fourth proportional to 1,214.04, 1,675.20 and 822.24 is: 1,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.04 : 1,675.20 = 822.24 : x
  2. Step 2: Convert to fraction form
    1,214.04/1,675.20 = 822.24/x
  3. Step 3: Cross multiply
    1,214.04x = 1,675.20 × 822.24
  4. Step 4: Simplify right side
    1,214.04x = 1,377,416.45
  5. Step 5: Solve for x
    x = 1,377,416.45/1,214.04
  6. Step 6: Final answer
    x = 1,134.57

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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.