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Finding the Fourth Proportional to 1,103.03, 1,655.22 and 453.77

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Solution

The fourth proportional to 1,103.03, 1,655.22 and 453.77 is: 680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.03 : 1,655.22 = 453.77 : x
  2. Step 2: Convert to fraction form
    1,103.03/1,655.22 = 453.77/x
  3. Step 3: Cross multiply
    1,103.03x = 1,655.22 × 453.77
  4. Step 4: Simplify right side
    1,103.03x = 751,080.90
  5. Step 5: Solve for x
    x = 751,080.90/1,103.03
  6. Step 6: Final answer
    x = 680.93

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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.