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Finding the Fourth Proportional to 1,282.20, 1,768.95 and 784.59

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Solution

The fourth proportional to 1,282.20, 1,768.95 and 784.59 is: 1,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,768.95 = 784.59 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,768.95 = 784.59/x
  3. Step 3: Cross multiply
    1,282.20x = 1,768.95 × 784.59
  4. Step 4: Simplify right side
    1,282.20x = 1,387,900.48
  5. Step 5: Solve for x
    x = 1,387,900.48/1,282.20
  6. Step 6: Final answer
    x = 1,082.44

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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.