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Finding the Fourth Proportional to 1,235.53, 1,855.64 and 716.57

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Solution

The fourth proportional to 1,235.53, 1,855.64 and 716.57 is: 1,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.53 : 1,855.64 = 716.57 : x
  2. Step 2: Convert to fraction form
    1,235.53/1,855.64 = 716.57/x
  3. Step 3: Cross multiply
    1,235.53x = 1,855.64 × 716.57
  4. Step 4: Simplify right side
    1,235.53x = 1,329,695.95
  5. Step 5: Solve for x
    x = 1,329,695.95/1,235.53
  6. Step 6: Final answer
    x = 1,076.22

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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.