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Finding the Fourth Proportional to 1,216.77, 1,824.62 and 754.53

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Solution

The fourth proportional to 1,216.77, 1,824.62 and 754.53 is: 1,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.77 : 1,824.62 = 754.53 : x
  2. Step 2: Convert to fraction form
    1,216.77/1,824.62 = 754.53/x
  3. Step 3: Cross multiply
    1,216.77x = 1,824.62 × 754.53
  4. Step 4: Simplify right side
    1,216.77x = 1,376,726.76
  5. Step 5: Solve for x
    x = 1,376,726.76/1,216.77
  6. Step 6: Final answer
    x = 1,131.46

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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.