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Finding the Fourth Proportional to 1,104.40, 1,653.00 and 811.83

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Solution

The fourth proportional to 1,104.40, 1,653.00 and 811.83 is: 1,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.40 : 1,653.00 = 811.83 : x
  2. Step 2: Convert to fraction form
    1,104.40/1,653.00 = 811.83/x
  3. Step 3: Cross multiply
    1,104.40x = 1,653.00 × 811.83
  4. Step 4: Simplify right side
    1,104.40x = 1,341,944.70
  5. Step 5: Solve for x
    x = 1,341,944.70/1,104.40
  6. Step 6: Final answer
    x = 1,215.09

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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.