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Finding the Fourth Proportional to 1,146.56, 1,716.80 and 962.56

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Solution

The fourth proportional to 1,146.56, 1,716.80 and 962.56 is: 1,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.56 : 1,716.80 = 962.56 : x
  2. Step 2: Convert to fraction form
    1,146.56/1,716.80 = 962.56/x
  3. Step 3: Cross multiply
    1,146.56x = 1,716.80 × 962.56
  4. Step 4: Simplify right side
    1,146.56x = 1,652,523.01
  5. Step 5: Solve for x
    x = 1,652,523.01/1,146.56
  6. Step 6: Final answer
    x = 1,441.29

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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.