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Finding the Fourth Proportional to 1,245.53, 1,716.95 and 1,024.09

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Solution

The fourth proportional to 1,245.53, 1,716.95 and 1,024.09 is: 1,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.53 : 1,716.95 = 1,024.09 : x
  2. Step 2: Convert to fraction form
    1,245.53/1,716.95 = 1,024.09/x
  3. Step 3: Cross multiply
    1,245.53x = 1,716.95 × 1,024.09
  4. Step 4: Simplify right side
    1,245.53x = 1,758,320.23
  5. Step 5: Solve for x
    x = 1,758,320.23/1,245.53
  6. Step 6: Final answer
    x = 1,411.71

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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.