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Finding the Fourth Proportional to 1,283.75, 1,922.34 and 1,024.13

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Solution

The fourth proportional to 1,283.75, 1,922.34 and 1,024.13 is: 1,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.75 : 1,922.34 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    1,283.75/1,922.34 = 1,024.13/x
  3. Step 3: Cross multiply
    1,283.75x = 1,922.34 × 1,024.13
  4. Step 4: Simplify right side
    1,283.75x = 1,968,716.45
  5. Step 5: Solve for x
    x = 1,968,716.45/1,283.75
  6. Step 6: Final answer
    x = 1,533.57

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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.