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Finding the Fourth Proportional to 809.07, 1,214.63 and 673.77

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Solution

The fourth proportional to 809.07, 1,214.63 and 673.77 is: 1,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.07 : 1,214.63 = 673.77 : x
  2. Step 2: Convert to fraction form
    809.07/1,214.63 = 673.77/x
  3. Step 3: Cross multiply
    809.07x = 1,214.63 × 673.77
  4. Step 4: Simplify right side
    809.07x = 818,381.26
  5. Step 5: Solve for x
    x = 818,381.26/809.07
  6. Step 6: Final answer
    x = 1,011.51

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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.