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Finding the Fourth Proportional to 1,305.67, 1,801.81 and 716.20

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Solution

The fourth proportional to 1,305.67, 1,801.81 and 716.20 is: 988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.67 : 1,801.81 = 716.20 : x
  2. Step 2: Convert to fraction form
    1,305.67/1,801.81 = 716.20/x
  3. Step 3: Cross multiply
    1,305.67x = 1,801.81 × 716.20
  4. Step 4: Simplify right side
    1,305.67x = 1,290,456.32
  5. Step 5: Solve for x
    x = 1,290,456.32/1,305.67
  6. Step 6: Final answer
    x = 988.35

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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.