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Finding the Fourth Proportional to 1,205.12, 1,804.80 and 656.48

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Solution

The fourth proportional to 1,205.12, 1,804.80 and 656.48 is: 983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.12 : 1,804.80 = 656.48 : x
  2. Step 2: Convert to fraction form
    1,205.12/1,804.80 = 656.48/x
  3. Step 3: Cross multiply
    1,205.12x = 1,804.80 × 656.48
  4. Step 4: Simplify right side
    1,205.12x = 1,184,815.10
  5. Step 5: Solve for x
    x = 1,184,815.10/1,205.12
  6. Step 6: Final answer
    x = 983.15

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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.