Home / 1,103.24-1,653.60-486.02

Finding the Fourth Proportional to 1,103.24, 1,653.60 and 486.02

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Solution

The fourth proportional to 1,103.24, 1,653.60 and 486.02 is: 728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,653.60 = 486.02 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,653.60 = 486.02/x
  3. Step 3: Cross multiply
    1,103.24x = 1,653.60 × 486.02
  4. Step 4: Simplify right side
    1,103.24x = 803,682.67
  5. Step 5: Solve for x
    x = 803,682.67/1,103.24
  6. Step 6: Final answer
    x = 728.47

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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.