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Finding the Fourth Proportional to 1,205.32, 1,662.96 and 707.80

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Solution

The fourth proportional to 1,205.32, 1,662.96 and 707.80 is: 976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.32 : 1,662.96 = 707.80 : x
  2. Step 2: Convert to fraction form
    1,205.32/1,662.96 = 707.80/x
  3. Step 3: Cross multiply
    1,205.32x = 1,662.96 × 707.80
  4. Step 4: Simplify right side
    1,205.32x = 1,177,043.09
  5. Step 5: Solve for x
    x = 1,177,043.09/1,205.32
  6. Step 6: Final answer
    x = 976.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.