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Finding the Fourth Proportional to 1,804.12, 2,706.46 and 650.14

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Solution

The fourth proportional to 1,804.12, 2,706.46 and 650.14 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.12 : 2,706.46 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,804.12/2,706.46 = 650.14/x
  3. Step 3: Cross multiply
    1,804.12x = 2,706.46 × 650.14
  4. Step 4: Simplify right side
    1,804.12x = 1,759,577.90
  5. Step 5: Solve for x
    x = 1,759,577.90/1,804.12
  6. Step 6: Final answer
    x = 975.31

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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.