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Finding the Fourth Proportional to 1,282.62, 1,769.63 and 784.74

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Solution

The fourth proportional to 1,282.62, 1,769.63 and 784.74 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.62 : 1,769.63 = 784.74 : x
  2. Step 2: Convert to fraction form
    1,282.62/1,769.63 = 784.74/x
  3. Step 3: Cross multiply
    1,282.62x = 1,769.63 × 784.74
  4. Step 4: Simplify right side
    1,282.62x = 1,388,695.52
  5. Step 5: Solve for x
    x = 1,388,695.52/1,282.62
  6. Step 6: Final answer
    x = 1,082.70

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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.