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Finding the Fourth Proportional to 1,282.42, 1,769.16 and 809.94

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Solution

The fourth proportional to 1,282.42, 1,769.16 and 809.94 is: 1,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.42 : 1,769.16 = 809.94 : x
  2. Step 2: Convert to fraction form
    1,282.42/1,769.16 = 809.94/x
  3. Step 3: Cross multiply
    1,282.42x = 1,769.16 × 809.94
  4. Step 4: Simplify right side
    1,282.42x = 1,432,913.45
  5. Step 5: Solve for x
    x = 1,432,913.45/1,282.42
  6. Step 6: Final answer
    x = 1,117.35

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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.