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Finding the Fourth Proportional to 1,103.58, 1,651.68 and 738.24

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Solution

The fourth proportional to 1,103.58, 1,651.68 and 738.24 is: 1,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.58 : 1,651.68 = 738.24 : x
  2. Step 2: Convert to fraction form
    1,103.58/1,651.68 = 738.24/x
  3. Step 3: Cross multiply
    1,103.58x = 1,651.68 × 738.24
  4. Step 4: Simplify right side
    1,103.58x = 1,219,336.24
  5. Step 5: Solve for x
    x = 1,219,336.24/1,103.58
  6. Step 6: Final answer
    x = 1,104.89

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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.