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Finding the Fourth Proportional to 1,305.71, 1,801.92 and 716.29

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Solution

The fourth proportional to 1,305.71, 1,801.92 and 716.29 is: 988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.71 : 1,801.92 = 716.29 : x
  2. Step 2: Convert to fraction form
    1,305.71/1,801.92 = 716.29/x
  3. Step 3: Cross multiply
    1,305.71x = 1,801.92 × 716.29
  4. Step 4: Simplify right side
    1,305.71x = 1,290,697.28
  5. Step 5: Solve for x
    x = 1,290,697.28/1,305.71
  6. Step 6: Final answer
    x = 988.50

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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.