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Finding the Fourth Proportional to 1,235.89, 1,854.29 and 716.41

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Solution

The fourth proportional to 1,235.89, 1,854.29 and 716.41 is: 1,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.89 : 1,854.29 = 716.41 : x
  2. Step 2: Convert to fraction form
    1,235.89/1,854.29 = 716.41/x
  3. Step 3: Cross multiply
    1,235.89x = 1,854.29 × 716.41
  4. Step 4: Simplify right side
    1,235.89x = 1,328,431.90
  5. Step 5: Solve for x
    x = 1,328,431.90/1,235.89
  6. Step 6: Final answer
    x = 1,074.88

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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.