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Finding the Fourth Proportional to 1,282.84, 1,928.53 and 1,053.43

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Solution

The fourth proportional to 1,282.84, 1,928.53 and 1,053.43 is: 1,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.84 : 1,928.53 = 1,053.43 : x
  2. Step 2: Convert to fraction form
    1,282.84/1,928.53 = 1,053.43/x
  3. Step 3: Cross multiply
    1,282.84x = 1,928.53 × 1,053.43
  4. Step 4: Simplify right side
    1,282.84x = 2,031,571.36
  5. Step 5: Solve for x
    x = 2,031,571.36/1,282.84
  6. Step 6: Final answer
    x = 1,583.65

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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.