Home / 1,102.24-1,652.10-485.02

Finding the Fourth Proportional to 1,102.24, 1,652.10 and 485.02

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Solution

The fourth proportional to 1,102.24, 1,652.10 and 485.02 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.24 : 1,652.10 = 485.02 : x
  2. Step 2: Convert to fraction form
    1,102.24/1,652.10 = 485.02/x
  3. Step 3: Cross multiply
    1,102.24x = 1,652.10 × 485.02
  4. Step 4: Simplify right side
    1,102.24x = 801,301.54
  5. Step 5: Solve for x
    x = 801,301.54/1,102.24
  6. Step 6: Final answer
    x = 726.98

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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.