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Finding the Fourth Proportional to 1,205.35, 1,804.11 and 648.64

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Solution

The fourth proportional to 1,205.35, 1,804.11 and 648.64 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.35 : 1,804.11 = 648.64 : x
  2. Step 2: Convert to fraction form
    1,205.35/1,804.11 = 648.64/x
  3. Step 3: Cross multiply
    1,205.35x = 1,804.11 × 648.64
  4. Step 4: Simplify right side
    1,205.35x = 1,170,217.91
  5. Step 5: Solve for x
    x = 1,170,217.91/1,205.35
  6. Step 6: Final answer
    x = 970.85

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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.