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Finding the Fourth Proportional to 1,103.24, 1,653.96 and 615.80

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Solution

The fourth proportional to 1,103.24, 1,653.96 and 615.80 is: 923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,653.96 = 615.80 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,653.96 = 615.80/x
  3. Step 3: Cross multiply
    1,103.24x = 1,653.96 × 615.80
  4. Step 4: Simplify right side
    1,103.24x = 1,018,508.57
  5. Step 5: Solve for x
    x = 1,018,508.57/1,103.24
  6. Step 6: Final answer
    x = 923.20

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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.