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Finding the Fourth Proportional to 1,103.58, 1,655.46 and 816.84

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Solution

The fourth proportional to 1,103.58, 1,655.46 and 816.84 is: 1,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.58 : 1,655.46 = 816.84 : x
  2. Step 2: Convert to fraction form
    1,103.58/1,655.46 = 816.84/x
  3. Step 3: Cross multiply
    1,103.58x = 1,655.46 × 816.84
  4. Step 4: Simplify right side
    1,103.58x = 1,352,245.95
  5. Step 5: Solve for x
    x = 1,352,245.95/1,103.58
  6. Step 6: Final answer
    x = 1,225.33

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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.